{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "bd3978ee-114f-4425-a7e8-b6dbd605f7e6",
   "metadata": {},
   "source": [
    "Chapter 17\n",
    "# 距离度量\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "571b52e7-1366-485b-ac98-01c9859e3ebf",
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "b2ffa50d-03ca-428b-9a54-0fd7e8655c9b",
   "metadata": {},
   "outputs": [],
   "source": [
    "G = nx.karate_club_graph() \n",
    "# 空手道俱乐部图\n",
    "pos = nx.spring_layout(G,seed=2) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "53716229-d6e8-43b6-832c-bf780d1b2dbb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (6,6))\n",
    "\n",
    "nx.draw_networkx(G, pos)\n",
    "# nx.draw_networkx_nodes(G,pos,\n",
    "#                        nodelist = [11,18],\n",
    "#                        node_color = 'r')\n",
    "plt.savefig('空手道俱乐部图.svg')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b74b41e0-d458-40aa-94d5-2df405585f3b",
   "metadata": {},
   "source": [
    "## 图距离"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "7feb0d7f-9593-4888-b6cc-8f614c1a8235",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[15, 32, 2, 0, 5, 16]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "path_nodes = nx.shortest_path(G, 15, 16)\n",
    "# 节点15、16之间最短路径\n",
    "path_nodes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "b049d890-57bc-49eb-9b19-4efa4bd87398",
   "metadata": {},
   "outputs": [],
   "source": [
    "path_edges = list(nx.utils.pairwise(path_nodes))\n",
    "# 路径节点序列转化为边序列 (不封闭)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "d36daff3-ddd4-4d95-8857-4bb65f2ee565",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (6,6))\n",
    "\n",
    "nx.draw_networkx(G, pos)\n",
    "nx.draw_networkx_nodes(G,pos,\n",
    "                       nodelist = path_nodes,\n",
    "                       node_color = 'r')\n",
    "nx.draw_networkx_edges(G,pos,\n",
    "                       edgelist = path_edges,\n",
    "                       edge_color = 'r')\n",
    "plt.savefig('空手道俱乐部图，15、16最短路径.svg')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "76600f3b-84fc-46bf-b6cd-e7651aa3090b",
   "metadata": {},
   "source": [
    "## 图距离矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "bfb62413-76ec-4a22-be15-7e89dc6a2f09",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 成对最短距离值 (图距离)\n",
    "distances_all = dict(nx.shortest_path_length(G))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "3a4ba076-bd11-4c2a-802d-d7c304fde5bb",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 创建图距离矩阵\n",
    "list_nodes = list(G.nodes())\n",
    "Shortest_D_matrix = np.full((len(G.nodes()), \n",
    "                             len(G.nodes())), np.nan)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "02ce23fa-1c25-4b35-bcbe-41fd0245cddb",
   "metadata": {},
   "outputs": [],
   "source": [
    "for i,i_node in enumerate(list_nodes):\n",
    "    for j,j_node in enumerate(list_nodes):\n",
    "        try:\n",
    "            d_ij = distances_all[i_node][j_node]\n",
    "            Shortest_D_matrix[i][j] = d_ij\n",
    "        except KeyError:\n",
    "            print(i_node + ' to ' + j_node + ': no path')\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "5ac8d84b-cd64-457e-97dc-64a797084ccf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.0"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Shortest_D_matrix.max()\n",
    "# 图距离最大值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "2aa25f77-af8c-4fa7-b98d-4a991c40c8a4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Shortest_D_matrix.min()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "684ebea9-9352-43e3-b884-3c45018cfeb9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 用热图可视化图距离矩阵\n",
    "sns.heatmap(Shortest_D_matrix, cmap = 'Blues', \n",
    "            annot = False, \n",
    "            xticklabels = list(G.nodes), \n",
    "            yticklabels = list(G.nodes),\n",
    "            linecolor = 'k', square = True,\n",
    "            cbar = True,\n",
    "            linewidths = 0.2)\n",
    "plt.savefig('图距离矩阵，无权图.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "13b0c5cc-862f-4890-9a20-b2aa954f6648",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 取出图距离矩阵中所有成对图距离 (不含对角线下三角元素)\n",
    "\n",
    "# 使用numpy.tril获取下三角矩阵，并排除对角线元素\n",
    "lower_tri_wo_diag = np.tril(Shortest_D_matrix, k=-1)\n",
    "\n",
    "# 获取下三角矩阵（不含对角线）的索引\n",
    "rows, cols = np.tril_indices(Shortest_D_matrix.shape[0], k=-1)\n",
    "\n",
    "# 使用索引从原矩阵中取出对应的元素\n",
    "list_shortest_distances = Shortest_D_matrix[rows, cols]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "5bf5c41a-4425-4463-9dfa-e27402958b11",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 使用numpy.unique函数获取独特值及其出现次数\n",
    "unique_values, counts = np.unique(list_shortest_distances, \n",
    "                                  return_counts=True)\n",
    "\n",
    "# 绘制柱状图\n",
    "plt.bar(unique_values, counts)\n",
    "plt.xlabel('Graph distance')\n",
    "plt.ylabel('Count')\n",
    "plt.savefig('图距离柱状图.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "f5828df1-9363-4919-b206-a838762a68db",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 节点平均距离\n",
    "average_path_lengths = [\n",
    "    np.mean(list(spl.values())) for spl in distances_all.values()\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "31aa6855-0b08-4e02-8d04-fc305aff3bf7",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "78d277fb-b1e2-41ad-bab4-68d7cf0dc359",
   "metadata": {},
   "outputs": [],
   "source": [
    "average_all = np.mean(average_path_lengths)\n",
    "# 节点平均图距离的均值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "d595bf65-f48f-4683-9ed8-29271d3094e3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 每个节点的平均图距离\n",
    "plt.bar(G.nodes(),average_path_lengths)\n",
    "plt.axhline(y = average_all, c = 'r')\n",
    "plt.xlabel('Node label')\n",
    "plt.ylabel('Average node graph distance')\n",
    "plt.savefig('节点平均图距离.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "ce12f833-09c4-4bb8-aaca-86741bf95351",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "\n",
    "# 绘制直方图\n",
    "plt.hist(average_path_lengths, ec = 'k')\n",
    "plt.axvline(x = average_all, c = 'r')\n",
    "plt.xlabel('Average node graph distance')\n",
    "plt.ylabel('Count')\n",
    "plt.savefig('节点图距离直方图.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "08deb055-cc0e-4a80-be1c-4a106ff5c8a9",
   "metadata": {},
   "outputs": [],
   "source": [
    "dict_ave_graph_d = {index: value for index, value in enumerate(average_path_lengths)}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "f8e5298e-5624-4cce-8044-bb8157617918",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{1.7058823529411764,\n",
       " 1.7352941176470589,\n",
       " 1.7647058823529411,\n",
       " 1.7941176470588236,\n",
       " 1.8823529411764706,\n",
       " 1.9411764705882353,\n",
       " 2.0,\n",
       " 2.088235294117647,\n",
       " 2.1176470588235294,\n",
       " 2.1470588235294117,\n",
       " 2.2058823529411766,\n",
       " 2.235294117647059,\n",
       " 2.4705882352941178,\n",
       " 2.5294117647058822,\n",
       " 2.5588235294117645,\n",
       " 2.588235294117647,\n",
       " 2.6176470588235294,\n",
       " 2.6470588235294117,\n",
       " 2.676470588235294,\n",
       " 3.411764705882353}"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# unique_ave_graph_d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "7607ebe8-c285-4164-9e75-76323854bf22",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 根据节点平均图距离大小渲染节点\n",
    "\n",
    "unique_ave_graph_d = set(average_path_lengths)\n",
    "# 取出节点离心率独特值\n",
    "\n",
    "# colors = plt.cm.RdYlBu(np.linspace(0, 1, len(unique_ave_graph_d)))\n",
    "# 独特值的颜色映射\n",
    "\n",
    "plt.figure(figsize = (6,6))\n",
    "nx.draw_networkx(G, pos, \n",
    "                 cmap = 'RdYlBu_r', \n",
    "                 with_labels = False,\n",
    "                 node_color = average_path_lengths)\n",
    "\n",
    "plt.savefig('根据平均图距离大小渲染节点.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d931ea8e-81bf-411a-b424-a72183e8eb59",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "673e4332-c30a-4991-a14f-10c91f3548e7",
   "metadata": {},
   "source": [
    "## 离心率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "90b9375c-c603-4f6d-8f2e-87144602d219",
   "metadata": {},
   "outputs": [],
   "source": [
    "eccentricity = nx.eccentricity(G)\n",
    "# 计算每个节点离心率\n",
    "eccentricity_list = list(eccentricity.values())\n",
    "# eccentricity_list"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "1a4125e5-4422-4dc7-a458-ba034528028c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "34"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(eccentricity_list)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d048527a-d19f-42f7-a84e-21e334f9fbdd",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "4f8af901-1a48-4099-b2b6-7afdc20bf078",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 自定义函数，过滤dict\n",
    "def filter_value(dict_, unique):\n",
    "    \n",
    "    newDict = {}\n",
    "    for (key, value) in dict_.items():\n",
    "        if value == unique:\n",
    "            newDict[key] = value\n",
    "            \n",
    "    return newDict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "e13acf9d-c71b-4c4d-8ff9-386bad2813c4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 根据离心率大小渲染节点\n",
    "\n",
    "unique_ecc = set(eccentricity_list)\n",
    "# 取出节点离心率独特值\n",
    "\n",
    "colors = plt.cm.RdYlBu(np.linspace(0, 1, len(unique_ecc)))\n",
    "# 独特值的颜色映射\n",
    "\n",
    "plt.figure(figsize = (6,6))\n",
    "nx.draw_networkx_edges(G, pos)\n",
    "# 绘制图的边\n",
    "\n",
    "# 分别绘制不同离心率\n",
    "for deg_i, color_i in zip(unique_ecc,colors):\n",
    "    \n",
    "    dict_i = filter_value(eccentricity,deg_i)\n",
    "    nx.draw_networkx_nodes(G, pos, \n",
    "                           nodelist = list(dict_i.keys()), \n",
    "                           node_color = color_i)\n",
    "plt.savefig('根据离心率大小渲染节点.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "b209a26a-ccfa-4add-b1a3-23139aee0a60",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 每个节点的具体离心率\n",
    "plt.bar(G.nodes(),eccentricity_list)\n",
    "plt.xlabel('Node label')\n",
    "plt.ylabel('Eccentricity')\n",
    "plt.savefig('节点离心率.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "ee08c0a7-878a-4bcd-98e5-fa8a2145cb01",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 使用numpy.unique函数获取独特值及其出现次数\n",
    "unique_values, counts = np.unique(eccentricity_list, \n",
    "                                  return_counts=True)\n",
    "\n",
    "# 绘制柱状图\n",
    "plt.bar(unique_values, counts)\n",
    "plt.xlabel('Eccentricity')\n",
    "plt.ylabel('Frequency')\n",
    "plt.savefig('图离心率柱状图.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "036941a7-0ddb-429a-8320-7f3c38d80aac",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3d1d1147-b719-4450-a5d3-b56508b093cf",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "f045c97d-5ef5-47c5-bd50-2803774aa973",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nx.diameter(G)\n",
    "# 图直径"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "20eee628-14e5-431e-81e0-db5847c86784",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nx.radius(G)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "75c254bb-a51d-4596-b8ac-d7a798d4f627",
   "metadata": {},
   "source": [
    "## 中心点"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "e4e13bb1-0725-433c-a896-323908791702",
   "metadata": {},
   "outputs": [],
   "source": [
    "list_centers = list(nx.center(G))\n",
    "# 获取图的中心点"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "fa6fbe07-3740-4ba9-9ac3-cd7ef2c4ccd0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (6,6))\n",
    "\n",
    "nx.draw_networkx(G, pos)\n",
    "nx.draw_networkx_nodes(G,pos,\n",
    "                       nodelist = list_centers,\n",
    "                       node_color = 'r')\n",
    "plt.savefig('空手道俱乐部图，中心点.svg')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4933df78-e79a-4e17-a42b-ebda31221d4f",
   "metadata": {},
   "source": [
    "## 边缘点"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "32deea80-1494-415f-8df6-2959e45fc857",
   "metadata": {},
   "outputs": [],
   "source": [
    "list_periphery = list(nx.periphery(G))\n",
    "# 获取图的边缘点"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "6ecd275d-197e-42b1-b2ed-4393d91b4678",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AFb/hGNu75paL2bWElAv7C12vsq+B65srcv++sJ8ng7yezj2Yww6dYP/IN3k2NgqPxPv53qS0QJSDK5FtO+I8fdJj04WbHPMAi6r2et/6rgBt0KX9PAIYZf/pl30+KPs8QDK6ZCcN0O35nJcWSIt58Nin2SxtDJWpMyVJ0svX15dt27aRlpaWmx5z2rRpNG/enJ9++olhw4YVee2tuFRWrFhJ2q1LWDT0xbhaTTTJD0g6vYs7a9/GecRiTKrW/PcCI2Mcek7MV4fSNP/Y8aydF2lfx/GpHFNW1nLm9ZvnALgXcZvEyzfy5X2u4VCFGo+4jQVFn76QLx1mjrvA8+i6pLeiC8agW+IEuuDbJk95K+AFdBO/1OQPWjk7WNV5roMBW/7oyIAsSZJevr6+ZGVlERwcjJ+f7t2lWbNm9OrViwULFvDKK6+gVOrvRp3xSwg23i9h/8K7KIz+fZO2bNSBqO8mkBi0FccX/k3uqFAaYdW0c7HtUWsFM34J4fvRbYot91+U00vh4eFBVTdXqrq5lnDFo6dvZ6kEoCe6lKBHAJc853L+t5OeuqoBWUAKhVOG/pd2sJJjyJIk6dW0aVNsbGzyjSMDvP/++1y8eJHff/9d73XXopM4cj0GY5dG+YIxgLG9KyaO7mTF3Cp0ndBq0GYUPWFMoxUcuR7D9XtJ5XiaJ1tgYCDm5uY0a9bsUTel1AruLJWO7k03FNgFFMxK7QI4oxtXLigKMAP0LYR7XHewKg8ZkCVJ0svIyIh27dpx7NixfMd9fX3x8fHhk08+Qd8UlB+OR2Ck1L9YRwiBJjUepUX+cTSRlcGtJS/rPksHE7tnOdrMtMJtUirYGPT0zboODAxEoVDQtGnTR92UUsvZwQpAg27yViCwBWhXxDWDgFvA3jzHYoBf0WXrKhiwHrcdrCpKBmRJkork6+vLsWPH0Grzz5SdPn06gYGBhd6eAQ5cvVfkjOqUiwfRJMVi2fDfMT8jKzts2vbHodc7OPZ5D/O6bUg+/Tv3fp6N0GryXa/RCg6E3itY7X9aeno6Z86cITU1lSZN9O1+/HiydKjCHQddR/QUYCe67uo4dOPBeT853geqA/2BOcASwAddd7W/nntEObg+9hO6ykIGZEmSiuTj40NCQgIXL17Md7xXr140bdqUBQsW5DuenKEmIk5/t3NW7C3i9i7H1LUhlp5dco/bdXoNu06vYdmoA5aNO+LYexJV/EaQcfsSqVcKB/yI2NSnKs3mqVOnyMrKAnii3pABbrfthFqh5Gz2338Dhuv55HBCN5O6K7pgPBOoARwCmheoW61QEtm2Y+U1/hGQAVmSpCJ5e3ujUqkKdVsrlUqmTZvGH3/8wfnz53OPh8em6M3DrEl+wL0tc1GaWuL40vsolEZ6Sv3L2utFUChJDztX6JwAwmJTyvM4T6TAwEBMTExQKBQ0aNDgUTenTJynvoNKaDlIMXtJFrimNrrUmQlAKrAfXbKQglRCi/P0SZXU8kdDBmRJkopkaWlJy5Yt9XZNDxo0CA8PDxYuXJh7LFNdOAmENj2F6J9no01PodrLc1FZO5R4X6WxKUpzazTp+idw6bvPf1VgYCBVq1alfv36mJk9WROYPPy8ONfI6z+5g1VlkAFZkqRi5YwjF2RsbMy7777L5s2buXHjBgAmqvy/UoQ6k3tb56F+EEm1gbMwcSxdYg9tRira1ESMLAouckHvff6rhBAEBASgUqmeqPHjHGfOnGG8Ou0/t4NVZXk6/lVLklRuvr6+hIWFcfv27ULnRo0ahYODA4sXLwagpoNl7mYIQqvh/o6FZERdoepL0zF1bVToeqHO1LvUKSFgMyAwr/VMoXOK7Ps8DcLDw7l79y4JCQlP3Pjx2rVrad++Pek2pgS8Na1cm2ToowDOT/sIl5YFF049+WRAliSpWD4+PgB635ItLCx4++23WbNmDdHR0ViaqnDPzqT14O/vSLt+HPPardCkJZN84UC+D+jGliO/GUnsX9+QeHIniSd3cm/LHBKPb8esdivM67ctdE93BwssTZ+OnEY5CUHi4+OfmDfkjIwMxowZw6hRoxg2bBhHjx7l2S/msbZ9T6DwmHFp5VwXNHryY5GnuzLIgCxJUrGcnJyoW7eu3oAM8NZbb2FsbMwXX3wBQOcG1TBSKsiM1nVjp10/Qeyuzwp9AJRmlpjX9SY97Azxh9bz4MBa1An3qNJxBNX6f4iiwNijAkGHOvaV+LSPl8DAQFxddVm5noQ35IiICDp06MD69etZtWoVq1atwszMjO+//55RAbvZOHD0E7+DVWWSm0tIklSikSNHcu7cOU6fPq33/Hvvvce3335LREQE99KVdFt6uNLakr5tJuOH92fcuHE4OjqWfMETzMvLC6VSyZkzZ0hJSSlxQ49Hae/evQwZMgQrKyu2bdtGq1a63Y5DQkJo06YNgwYNYs2aNdw5e5nYYSPxvHQCtUJZ5G5QQO75kMbeOGxc+8R2U8v9kCVJMhgfHx/OnTtHUpL+Wc+TJk0iPT2dlStXUs/Jmg51HYvM1lVeRkoFz7iY07dLO/z9/XF3d2fcuHGEhoYa9D6Pi7S0NM6ePYuZmRkNGjSo1GCcEhvPP3uOcPXXvfyz5wgpsfGlvlar1eLv70/37t1p3bo1p06dyg3GCQkJ9OvXj/r16/P111+jUChwadkYz4vHCT90glO9BnPbwZWCIVkL3HZw5VSvwYQfCcbz4vEnNhiXhXxDliSpRFeuXKFRo0bs2bOHbt266S3zxhtvsGvXLm7evMn9VC1dlxwiw4DLk0xVSvZN6oibvQUxMTEsX76cZcuWcf/+fV544QUmT56Mn58fCoVhvwiALmDdPRWSb4elys4QdeTIEfz8/HjmmWeoV68emzdvNmj94YeDubtoKTWCDlI9NqrQlo53HFy43bYTzlPfwcNP30pg3dj2iBEj+O2335g1axazZs3CyEi3xlwIQb9+/Thw4ACnTp2iTh19ez/pPIqf78Mk35AlSTKYBg0a4ODgoHc9co6pU6cSHR3N+vXrcbO3YG4fw05CmtenSe7Wi46Ojnz44YeEh4ezatUqrl+/TqdOnfD29mbTpk25ma0qIvxwMMd7DyXS0RVzRzvqdPejwUvPUae7H+aOdkQ6unK891DCDwdX+F76BAYGYmlpSVhYmEHHj6POXCKkSRs8OnrT6o/NuBYIxqALDK6xUbT6YzMeHb0JadKGqDOX8pU5f/48rVu35siRI/z222/MnTs3NxgDLF68mB07drBhw4ZigzHo0mzWea4DDV7sRp3nOvyngnFZyIAsSVKJFAoFPj4+xQbkevXqMWDAABYtWoRarWawlzvvPlffIPd/77kGDPIqvIbZzMyM0aNHc+HCBf744w9sbW155ZVXqFu3Lp999hmJiYllvpehAlZFBQYG0qJFC+Li4gw2w/rEzIXYe7ek0eWTAMWO3+Y93+jySey9W3Jipi4JzMaNG2nbti1WVlacOnWK3r1757vu4MGDTJ8+nffff58+ffoYpO1PAxmQJUkqFV9fX44fP17s2+e0adO4ceMG27ZtA2BC53os6OeJqUpZ5jFlI6UCU5WShf08Gd+5brFlFQoFPXv2ZN++fZw5c4aOHTsyffp0atSowZQpU4iIKN0OUYYKWBUlhCAwMBAPDw/AMDOsA0dPxtt/OqbqzBKfqyCV0GKqzsTbfzrrfHoxfPhwXn75ZQICAqhdu3a+slFRUQwePJhOnToxb968Crf7aSIDsiRJpeLj40NKSgrnzhXOL52jVatWdOvWjQULFuRuzTjYy519kzrSvrYuZWZJgTnnfPvaDuyb1FHvm3FxWrRowYYNGwgLC+Ott95izZo11K5dmyFDhnDy5MkirzNUwAocPblM1+oTFhamW9dtaYmZmVmhoFdW60ZO4Ic1S2gCWAHuwMvo9iYuaBnQCDAFXIHJQArkJvZ4LWA33w8czdq1a7GwsMh3bVZWFi+//DIqlYpNmzahUj0d68UNRQZkSZJKpVWrVpiamha5HjnH9OnTOXv2LHv27Mk95mZvwfej27D3HT+Gt/HAw8GCgikiFICHgwXD23iwb5If349ukztmXB6urq4sWLCAW7du8fnnn3P8+HG8vLzo2LEjO3fuzLel5ImZC1GtWcIEoClgSdFBaxXQEd3ORKZALWAkEJ59vt2aJZz4YFG52w3/JgRJT0+nUaNG+cZmyyrqzCV+Xf8N24AuwBfAm8Bh4BngQp6y04D/ofsZfIFuG8SvgH55yghgwC/fc+fs5UL3mjZtGsePH2fLli1Uq1at3G1+aolSSEhIEIBISEgoTXFJkv6jOnToIAYMGFBsGa1WK7y8vESnTp2KLTd52vui9jN+4nR4nLgQGS+S07MM2dRC1Gq12LJli2jbtq0ARP369cXy5cvFPwGnRJrKRPQH4QzifyBWgfgIhBMISxAhIET2ZxyIV0EsBvEdiA+yyzmCiAShBZGmMhGRpy+Wu60TJkwQ9erVE+3atRPDhg2r0HOfb+wtDqEQGXmeQYAIBWEKYmj236NAqEAML1Duq+xNmXbmOZalUIrzjb3z3eenn34SgPjyyy8r1N7/otLGUBmQJUkqtenTpwtnZ2eh1WqLLbdt2zYBiMDAwCLLjB8/XjRv3tzALSydgIAA0b9/f6FUKsXB6nVFlkIpjkGJQauoz8nsoPVJMQGrLFq1aiVGjBghbGxsxIIFC8pdT9ihE8W2+5nsjwCxLfsZfi9Q5n728Vf0XB92JFgIIcSlS5eElZWVGDJkSIn/Np5GpY2hsstakqRS8/X15e7du9y8ebPYci+99BINGjRgwYIFRZZJTk7GysrK0E0slXbt2rF161aObfqFjneuoxJa2gMmBcrVA5oAhTtn86uZ/Wd89p8qocXz0gnCjxY9Zl2U1NRUzp07R4MGDUhMTKzQDOu7i5YWmaZSANFATq6zjOw/zQuUyxk0OFXguFqh5O6CJSQnJ9O/f3/c3d359ttvK2Ud+NNCBmRJkkqtXbt2AMUufwJQKpVMmzaNX3/9lUuX9C8HSkpKemQBOYdiw0/F5lUuGLTyigXuASfRjSGDbow2R07AKquTJ0+iVquxtdVtPVmRGdY1gg4WOUHtByASGJT99wbZfxacIXAk+8/IAsdVQotr0CHeeOMNbt26xbZt2x75f88nnQzIkiSVmr29PU2aNCkxIAMMHToUV1dXFi3SP8EpOTkZa2trQzexTIoLWFA4aOXlim5ilxcQAHwJ5M1hlhOwyiowMBArKytSUlKwtLTE3b1ss8xzJMc8oHpslN5zV4DxQDvg1exjzwBtgIXAWiAM2A2MAYyBND31uMRGsmvrL6xZs4aGDRuWq53Sv+ScdEmSysTX15cjR46UWM7ExIQpU6YwdepU5s2bVyiwJCcn4+LiUlnNLFFxAQv0B628dgPp6LqzN6JbGlSQS2wkR/cdwMjSDI1GU6rPli1bcHNzY+fOnVSrVo3Vq1eX+tq8H8u7CehbBXwXeB6wBbYCeedvb0P35WNU9t+N0C17OgRc1VOXEpg8eAQDBw4s8ucolZ4MyJIklYmPjw8rV64kLi4Oe/vit0J84403+Oijj/j8889ZunRpvnOPcgwZIPr0BYpK6Fhc0MrROfvPnsCL6JYKWQET8pRRApNeHsbJB0UH/pKMHTsWIyOjMn+amVQpVFdCdnvj0XVFF/w65AocBa6h+xnUA5yzyxWVc21Q335FnJHKSgZkSZLKxNfXF4CAgIBCKRMLsrKy4n//+x+LFy/mgw8+yLddYlJS0iPtslanpes9XlLQ0qcO0BJdF/eEAucWfPQxzp28SxVEIyIiaN68Odu2bWPYsGF89NFHTJkyRe89S9qQ4Z89R6C7X+7f04EX0K2r3gcUt3dSvewPwCXgDvBaEWVNrSyLqUkqCxmQJUkqk5o1a+Li4sLRo0dLDMhAbkBetmwZc+bMyT3+qN+QVeZmhY6VJWgVlMa/M5XzqlmvLnVKOVP6999/B8DDw4O0tDQ8PT3znS+4Q1PeN3wtEJlnhybnVp5o0b2la9B1RQcCv6Lrhi8NLTAV3UzrsUWcd27lqeeMVB4yIEuSVCal2WgiL0dHR9544w2+/PJL3n333dwg/KgDct6ABaULWmogCbArcPwEEAK8UuB4WQNWYGAg9evXJzJSN6c5Z8lT1JlLxA4bieelE7gqlHonouVseOH0x2ZUv/9ISGNvHKtUo3r8PaYAO9F92YhDN+ad17DsP99G96WkBZAF/Jj9bOvRZS4rKMrBlRpP6c5MlUHOspYkqcx8fX0JDg4mPV1/t29BkydPJikpiVWrVgGgVqtJS0t7pF3Wlg5VuOPwb4d0TtDqyb9BK+8HIBlwA0YDnwMr0XVRd0Y33vxhgXtEObiWaSvBwMBA2rVrx8WLF6lSpQouLi4V2vCiakIMGoWCs9nnfgOG6/nkaAkcB94DPkA3Jr6/QJkcaoWSyLYdS/1sUslkQJYkqcx8fHzIzMzk1KmC6SL0c3d3Z+jQoXz22WdkZmaSkqKbk/yo163eatspdx3y2exjxQUtC+B1dGuP56LL+7wLGIIucUbOuCuUPWDlbNzRrl07Lly4QJMmTQh6fUqFNrwwElqMhOAg2em2ivjkeA3dzyEZSETXbd8Z/VRCi/P0SWVqk1Q8GZAlSSqz5s2bY2lpWepua4CpU6cSGRnJDz/8QHJyMvBoA3JQUBBfPLibG+gOUnLQMgGWAufQTf7KRLdedzX/ZuvKUdaAdfLkSTQaTe4b8kDTqrRbs4RkYA7QA7BHtwnHOj3Xv5Z9Lu9HCVTG6mC1QklIY288fFtXQu1PLxmQJUkqM5VKRbt27Urc+Smvxo0b8+KLL7Jw4UISEhIAHkmXdWhoKAMGDKBdu3ZcSo7hVL0WxWbrKo/yBKyAgACsra1p0KABGRHRjDn8BwKIAeahW+/cvIQ6TIHvC3w+pfCbcEUIQG2kwmHjWgPVKOWQAVmSpHLx8fHh2LFj+bYxLMn06dO5evVq7mzih/mGHB0dzVtvvUXjxo05ceIE69ev5/Tp01T/6QfURqpHHrACAwPx9vYmLCyM5SaWqDRqFEB1dMuOwtEF1+Ko0E3Qyvt5gX/fmA1BAZyf9hEuLcsyB10qDRmQJUkqF19fX+Li4rhy5Uqpr2nbti2dOnXiu+++A/4NyCkZai5GJXAm4gEXoxJIyVAbrJ1JSUnMmTOHOnXqsGnTJhYsWEBoaCgjRozAyMgIl5aNOT913iMNWEKI3Aldp3b8Safof3K70k3RJecoLQ268d8i71WGuvRdFzR6Mt4fTy1nLVJx5LInSZLKpU2bNhgZGXHs2DEaNy598Jk+fTo9evTA2MGNlSfjOPHLASLiUvMFCgXgbm9B5wbVGNrGnXpOZe/azsrKYtWqVcydO5eEhAQmTpzI+++/j51dwUVL4D1/GoF3o2m3ZgmC8r1N5lwXNHoybcsYsP755x9iYmJo164dWbM/R13E0qaSpAI22X/aoZtsthDdbGkADQpE9m5MZalfrVCiNlJxftpHZX42qfTkG7IkSeVibW1N8+bNyzSxC6BRa188Xv0UlzeWs/38fcILBGPQBbfwuFS+Px5Ot6WHGf7dcW7FpZaqfiEEW7dupUmTJkyYMIGePXsSGhrKokWL9AbjHO2++5wTMxaQoTIp85iyWqEkQ2XCiZkLabv6szJdC7ruatD1ILS4FlKuYFwdXRKPtcAmoA/wDbrJYDn9DUYIoq3tudyodW67i5Nz/nKj1sSdOCPfjCuZDMiSJJWbr69vmSZ2bQ6OoNvSwyicdZv9aUroP9VodQUCbsTSdckhNgdHFFv+yJEjtG/fnoEDB1KnTh3Onj3LunXrSr1jkvf8acSdOPPQA1ZgYCANGzbERKvALeFeuer4BFgAvAwMRjcTez667RS35ilXPTGG2of/IvzQCU71GsxtB1cKhn8tEG7nzKlegwk/EoznxeNyzPghkAFZkqRy8/Hx4Z9//uHOnTslll124BrTt4eQodYiyvgGqtEKMtRapm8PYdmBa4XOX7p0iT59+uDn50dWVhb79+9n9+7dNGvWrEz3AXBp2RjPi8dLDFi37F34rkYjfl22usIBK2f8OPLEOYP+Up6E7pf8vjzHlMDdUyF4+HnRZtcP1Ii5TVrMA/756zDHVm+is3t9+vd8HreYSNrs+kEubXqI5BiyJEnl5uPjA8CxY8cYMGBAkeU2B0cwf/0uUkL2kx4RgjohGqW5DaYuDajiNxxje9fcsuELis6PbVazBYv5mKpWpgzycicyMpLZs2ezdu1aPDw82LRpEy+//DJKZcXDmoefFx5+PwD5N3J4+7138XqxJ/MWfcKC2rXpHhLMi4wu932Sk5M5f/48b731FpFh4TSocMv/ZQ44oMs8llfBjTUsHarg6ufFIN9JxCozOf3D9wb5GUplIwOyJEnl5urqSq1atYoNyLfiUpm98yKJQVvJuH0Zi4a+GFeriSb5AUmnd3Fn7ds4j1iMSdWaADj0Lry7UebdaySd3IlZrZYAzNp5kWPb17L6i4VYWlqyZMkSxo4di4mJSaU8p6VDFeo81wGAxIWW3Lp/F4VCwcCBA1m3bh3Lli1DpSrfr9Pg4GC0Wi3t2rXjzLY/DNlsktCtY65a4Li+jTXefvttLly4QEBAQLFj7VLlkV+BJEmqkJI2mpjxSwhqrcDaqy+ub63BvtsYrJt3p4rPYJyHLkRoNSQG/TvKadW0c6GPyEwHFFg20qWiTM/MYku4MZMnT+b69etMnDix0oJxQW5ubty6dQuAgQMHcv/+fQ4fPlzu+gIDA7GxsaFx48ZcS3lQqHu8NNLRBd+CPkI3Qa5HnmP6NrxYt24d3377LV9//TXPPPNMOVogGYJ8Q5YkqUJ8fX3ZtGmT3t2brkUnceR6DABmNRoVutbY3hUTR3eyYm4VWb9QZ5F69Rim7k1R2ej2U1YojTD1aM5rE/2wtX242b7c3Nw4c+YMAK1bt6ZmzZps2bKFZ599tlz1BQYG0qZNG5RKJSHXrnDLthoeBSZ2LUO3P3NU9t9/A25n/+//AQ/QbQwxhH9TZf4F/IEuGL+Yp66COzSdO3eOcePGMWrUKEaPLn/Xu1Rx8g1ZkqQK8fX1RaPRcOLEiULnfjgegZGy6FW9Qgg0qfEoLWyKLJP2TzDajBQsm3TKd9xIqWBjUPGzritDjRo1uHXrFkIIFAoFAwYMYPv27Wg0mjLXJYQgKCiIdu10mz1evHiRU7UbF5rdvRjdTlLLs/++PfvvH6ILxlWA3sBe4H10y5/CAX90O1jl1FZww4v4+Hj69+9Po0aNWLZsWZnbLxmWDMiSJFVIo0aNqFKlit5u6wNX7+UuXdIn5eJBNEmxWDbsUHSZSwfByBjLBj75jmu0ggOh5VsiVBFubm6kp6cTF6ebKjVw4EDu3btXrm7r69ev5yYESUtL4/r168T27lpoHXIYRW96URNdQP4euAakoOvCvoAuOBvnqSfvhhdarZZXX32V2NhYtm7dirm5eZnbLxmWDMiSJFWIUqnUO46cnKEmophkHlmxt4jbuxxT14ZYenbRW0abkUraPycxr9MapVnhvNcRsakGTbNZGm5ubgC548heXl54eHiwZcuWMteVkxCkTZs2XLlyBSEEzZ7vSkhj70rf8GLRokXs3LmT77//ntq1axv0XlL5yIAsSVKF+fj4EBgYiFr9b3AMj00pMm+yJvkB97bMRWlqieNL76NQGuktl3r1GEKdiWXjTnrPCyAsNqVijS+jggG5It3WgYGBNGrUCDs7Oy5cuADodsVy2Li2Uje8+Pvvv5k5cyYzZ86kd++il5lJD5cMyJIkVZivry/JycmEhITkHstU658vrE1PIfrn2WjTU6j28lxU1g5F1pty8SAKU0ss6noXWaao+1SWatWqoVKpuH37du6xgQMHEh0dzZEjR8pUV05CENCNH3t4eGBtbV2pG15ERkYyePBgnn32WebOnWugO0iGIAOyJEkV5uXlhYmJSb40miaqwr9ehDqTe1vnoX4QSbWBszBxLDqlpTo5jvSIECwatEehMi6ynL77VCYjIyNcXV1z35ABvL29cXd3L1O3dVJSEiEhIbkB+cKFCzRp0uTfOudPI3CUbrzXUDs0ZWZmMnDgQExNTfnxxx8xMtLfMyE9GjIgS5JUYWZmZrRq1SrfOHJNB8t8b3hCq+H+joVkRF2h6kvTMXUtvAwqr9RLh0Foi+yuBt2bX00Hy4o1vhzyrkWGf7utt23bVupu67wJQUD3hty0adN8ZQy94cV7773HyZMn2bp1K1WrFkwX8vhIiY3nnz1HuPrrXv7Zc4SU2PhH3aSHQgZkSZIMwtfXl6NHjyKE7r3M0lSFu71F7vkHf39H2vXjmNduhSYtmeQLB/J9Ckq5dBAjK3vMPDwLncvh7mCBpenDT6eQs/Qpr5xu69LufhUYGIitrS2NGjUiOTmZsLCwfG/IOXI2vDjmpJt4Vd4NLzZv3syXX37J0qVLadOmTana+DCFHw7meO+hRDq6Yu5oR53ufjR46TnqdPfD3NGOSEdXjvceSvjh4Efd1EojA7IkSQbh6+tLZGQkERH/rg3u3KBa7jrkzOgbAKRdP0Hsrs8KffLKir1N5t3rWDTyQ1FEADJSKuhcv1olPU3x3Nzc8o0hg26mtJubW6m7rfMmBLl06RJAoTfkHIeunKPT3et8MPyNYje8iLCvrneHpkuXLvH6668zdOhQxo0bV6ZnrWxRZy4R0qQNHh29afXHZlxjowoFJiXgGhtFqz8249HRm5AmbYg6c+lRNLdSyUxdkiQZRPv27QE4evQoHh4eAAxt4866wDAAnIcuKHVdxg418Ji+q9gyGq1gWNvSbatoaDkBOSc5COi6rfv378/mzZv54osvih2fzUkIMmHCBEA3fqxQKGjYsKHe8jNnzsTIyIgPvv0SMzNdHuqU2HiWTv2APb/9jsrSHAfPBvy88xcK/kSSkpLo168fNWvWZOXKlbntfRycmLmQZotmUU2jm51f0j7QOecbXT6J2rslJ6bOw3v+tEpv58Mi35AlSTIIR0dHGjZsmK/Ltp6TNR3qOhabras8jJQKOtR1pG61h5s2M4ebmxsZGRncv38/3/GBAwdy9+7dEveIvnbtGrGxsfnGj+vUqYOFhUWhssePH+fmzZu88MILucEY4PLN68xevwJ1PReC7oXz6VdLC10rhGD06NFERUWxfft2LC0f/nh7UQJHT8bbfzqm6swSA3FBKqHFVJ2Jt/90AkdPrqQWPnwyIEuSZDA+Pj6FgpF/X09UBg7IKqUC/75Fjy1Xtho1agAU6rZu27Ytrq6uJXZb500IAoVnWOf1v//9DyBfasuMjAxee+016tWrx/Hjx5k1a1Zur0ReX3zxBVu2bGHdunXUr1+/lE9X+U7MXIhqzRImAE0BS8AdeBkI1VP+Mrqc3FaAPTAc3S5WAO3WLOHEB4sqv9EPgQzIkiQZjK+vLxcuXCA+Pj73mJu9BXP76A825TWvTxPc7Au/TT4sBZOD5FAqlbmzrbXaot/6AgMDady4MVWqVAH0z7AGiIyMJDg4GC8vL1xd/90zet68eVy9ehUzMzPq16/PpEmTCl179OhR3nvvPd5991369etXnsesFFFnLtFs0SwWAtuALsAXwJvAYeAZdGk/c9wG/IDr6HJzvwv8DnQDMtEt7Wq28MP/xJiyDMiSJBmMr68vQojcN8Acg73cefe5nDe0cq6qzZ69PbSpNYO8Hs3YcY6qVatiYmJSKCCDrtv6zp07xXZb500IEh8fT2RkpN435PHjxwP5345PnjzJwoUL6d27N2fPnuWbb74ptPXk3bt3efnll2nfvj2ffPJJuZ6xssQOG4lKo2Yyug0wvgReBz4AjgBqIO9sA390+bn/BiYCM4CfgXPAOnRL31QaNbHDRj6sR6g0MiBLkmQwderUoVq1anqX/kzoXI8F/TxRKUBoypZ/2kipwNTYCKtLv/LdlJe5efOmoZpcLkqlEldX10Jd1gDt2rUrtts6MTExX0KQixcvAoVnWKelpbFr1y5q1qyJt7cuU1lOV3WTJk04cuQIw4YNo1OnTvmuU6vVDB48GCEEmzdvRqV6fObuhh8OxvPSCVRCS3ug4A7W9YAm6Lqoc2xDt5NV3q9gXYH66AIz6MaUPS+dIPzoyUpq+cMhA7IkSQajUChy1yPrM9jLnder3yEjQpdi06iEoeWcyWDtazuwb1JH/l71MVZWVnTv3r3QhKqHrWBykBxKpZL+/fsX2W194sQJhBD5MnQZGRkVGuOdPn06Go0Gf3//3GPz5s0jNDSUevXqoVarWbx4caH6Z8yYwdGjR/n555+pXr16RR/ToO4uWlrsOmoBRAOO2X+PBO4BrfWU9QbO5Pm7WqHk7oIlBmrpoyEDsiRJBuXr68uJEyfIzMzUe16VkUD6n4vZ+44fnWoYkRUXVaiMAvBwsGB4Gw/2TfLj+9FtcLO3oFq1avz1118kJCTQu3dvUlIe7sYSeRUVkEHXbR0VFUVAQEChc4GBgVSpUiV3idPFixepX78+pqamuWWEEKxevZoqVaowePBg4N+u6pEjR7Jt2zb8/f1xcnLKV/f27dv59NNPWbRoER06FL2l5aNSI+hgsTOqf0AXhAdl//1O9p/6vlZUB+KAjOy/q4QW16BDBmrpo/H49GVIkvSf4OPjQ3p6OqdPn6Zt27aFzicnJ2NlZUU9J2vqxJ8mefNCbt+9T8SDNDLVWkxUSmo6WBaZgatOnTr8/vvvdOrUiUGDBrFjx45H0i1bo0aNIseJ27dvj4uLC1u2bMHX1zffubwJQUD/DOuvv/6a1NRUpk2bhkKhyO2qbtasGcePH6dVq1aMGTMm3zWhoaG89tprDBgwQO8kr0ctOeYB1WMLf/nKcQUYD7QDXs0+lpb9p6me8mZ5yuScd4mNJCU2HkuHKhVu76Mg35AlSTKoli1bYm5uXmS3dVJSElZWur2Ng4KCaNOmDdbmJjRxsaWlux1NXGxLTIfZunVrtm3bxl9//cWYMWNy03U+TG5ubkRGRurtls7ptt66dWu+81qtlqCgoNzuatA/w3r+/PmYmJjw/vvvA/92VXfr1o3z58+zfPnyfIlHUlJS6N+/Py4uLnz33XePVfKPHNGnLxQZcO4CzwO2wFYg58nMs//M0HNNeoEyoAtod0+F6Cn9ZJABWZIkgzI2NqZNmzZFvj0mJydjbW2dOxs7b3Aqi+7du7NmzRrWrFnDrFmzKtLkcnFzcyMrK4t79+7pPZ/TbZ13xnloaCgPHjzIfeb79+9z7969fG/If/75J3fv3mXw4MEYGxvndlW/8847LF++nLFjx+Ll5ZVbXgjB2LFjuXHjBtu2bcPGxqaSnrhi1Gnpeo8nAD2BeOBPwCXPuZyu6jsUdgfdmuSCb89F3edJIAOyJEkGV3Cjibxyuqxv3LhBTEyM3m7t0ho+fDgLFizg448/Zvny5RVpcpkVtRY5h4+PD9WrV8832zowMBCFQpGbEETfDOspU6agUChYunRpbld18+bNCQ8Px8zMjPnz5+e7z4oVK9i4cSOrVq0qMrnI40BlblboWDrwArpkILuAxgXOuwJVAX1zp08ALUp5nyeFDMiSJBmcr68vMTExhIYWzruUE5CDgoIAKrzz0NSpU5k4cSLjx4/nl19+qVBdZVFUtq4c+rqtAwMDadKkCba2toBu/NjExIS6desCcOXKFS5dukTnzp2xs7PL7aoeM2YMP//8M4sXL8bOzi73HidOnODtt99mwoQJvPLKK5X5uOUmhODChQv8fvZEvg0xNOgmbwUCW9CNHevTH12wzvu1Zz+6ID6wQFkt4Nzq0WVwqzBRCgkJCQIQCQkJpSkuSdJTLj4+XigUCvHdd98VOte5c2cxZMgQMX78eNGgQQOD3E+j0YiBAwcKU1NTceTIEYPUWRKtVivMzMzEF198UWSZQ4cOCUAcO3ZMCCFE06ZNxRtvvJF7fuzYsaJZs2a5f+/cubMAxOXLl0VwcLAwMjISs2bNEvXr1xcdOnQQWq02t+z9+/eFm5ubaNu2rcjIyKiEJywfrVYrLl68KL7++msxYMAAUbVqVQEIY2NjEWZbTQhdihfxtm6Vk3gBxPd6PjnlIkA4gKgD4ksQ/iDsQHiCSM9TToC45eD6qB9fr9LGUPmGLEmSwdna2tKsWTO9E7vyviFXpLs6L6VSyYYNG2jXrh0vvPBCbldwZVIoFHr3Rc7Lx8cHZ2dntmzZQkJCAhcvXsw3Zp53hnVcXBwHDx6kcePG1KpVK7er2sjIiBs3brB8+fLcyVoajYZXXnmFtLQ0tmzZUihT18MkhODq1ausWLGCwYMHU716dZo0acLbb79NVFQUb775Jvv27SM+Pp5wb7/cdchns6//DV1u6oKfHG7AIaAOMB1YBPQC9pJ//FitUBLZtmMlPmnlk8ueJEmqFL6+vuzdu7fQ8eTkZExNTTl37hyvv/66we5nZmbGjh076NChAz169CAwMDC3W7my1KhRo8guawAjI6PcbusePXrkSwgihODixYv07NkTgEmTJiGE4LPPPuOjjz4iNDSUHTt20L9/fyZPnpxvfHju3Lns37+fPXv2VPozFiSE4Pr16xw8eJADBw5w8OBB7ty5g5GREV5eXowaNYpOnTrh4+OTu7vU2bNnGTlyJFdOHuNc9jrkg2W4ZxPgrxLKqIQW5+mP33KvMjHk67YkSVKOH3/8UQAiOjo63/EaNWqI1157TQDizJkzBr/v7du3hbu7u2jatKmIi4szeP15DR8+XPj4+BRb5uDBgwIQr7/+urCzsxOJqRniQmS82HMqVBhXqyV+2rZDZGZmChMTE+Hk5JTbVT137lzx/PPPCzc3N5GUlJRb365duwQg/P39K/XZcmi1WvHPP/+I1atXi6FDhwpXV1cBCKVSKby8vMTUqVPF7t27RWJiYqFrjx49Knr16iUAUatWLbFixQpxrpG3yFIo83U1V/STpVCK8429H8rPozxKG0MVQpS8gC8xMRFbW1sSEhIe2yn1kiQ9Xm7duoW7uzvbt2+nb9++ucft7Oxo3749hw4dIj4+vlKSely+fBkfHx88PT3566+/8u0jbEgzZ85k48aNhIeHF1lGo9FQo3FrTJt0xbhmC9SmVQptr2FNOpEn9zCumye/bliBiYkJM2bMYODAgfl+fjdv3qRVq1b4+vqyY8eO3OQihhYWFpb7BnzgwAFu3bqFUqmkZcuWdO7cmU6dOtGhQwe98UAIwZ49e/D39+fw4cM0btyY999/n8GDB6NSqYg6cwl775aYqjMxxGppAWSoTIg7cQaXlgXnaT8eShtDZZe1JEmVws3NDTc3N44dO5YbUIQQJCcnExUVhZeXV6Vl2GrUqBG7du2iS5cuDBs2jJ9++ilfIg1DqVGjBpGRkWg0Gr3134pLZcYvIZj2+xih1ZCl1N+GJMywfuZ5fnhgRLrnYL59vTMTRg6hV69evPTSSwCkp6fTv39/7OzsWL9+vUGDcURERL4u6LCwMBQKBS1atGDAgAF07tyZDh065G4XqY9Wq+WXX37B39+f06dP4+XlxS+//EKfPn3ytdWlZWNOTJ2Ht/90g7RdAZyf9hHej2kwLgsZkCVJqjQFN5rIyMhArVZz8+ZNxo0bV6n3bt++PZs3b6Zfv368/fbbfPXVVwbPYOXm5oZGoyE6OhoXF5d85zYHRzB750XUWt37sKKIYJwj57x5zRZM2htLcrVmfPXVl7lt/t///sfly5cJDAzMt/SpPCIjI3OD74EDB7hx4wYAzZo148UXX6RTp074+flhb29fYl1ZWVls2rSJTz75hCtXrvDss8+yb98+nn322SJ/3t7zpxF4N5p2a5YgoFxvyjnXBY2eTNuPp5ajhsePDMiSJFUaX19ftmzZQmpqKhYWFiQnJwOQkJBQ7gxdZfHiiy+yfPlyxowZg6ura24qSkPJmxwkb0BeduAai/cUXoNdGgIFapTYdBvHH+EaJtSGNWvWsHr1atauXUuLFi3KXOedO3fyvQFfu3YN0CUk6dWrF507d6Zjx444ODiUus60tDTWrFnDp59+Snh4OH369GHt2rWlnjnf7rvPOeHsRLNFs1Bp1MVuOlGQWqFEbaTi/LSP/jPBGGRAliSpEvn4+KBWqwkODqZjx465ARkqnhCktN58802ioqKYMWMG1atX57XXXjNY3XkDcs7zfLp5H3PmzCHz7nU0KfEojE0xdnDDpk0/LOrpygihJSXkb1JDA8iMvoE2PQmVrRMWjfywbdMPhUq3jGnxnlDS4qL58K23eOONN0rd9ujo6HwB+OrVq4CuK79bt274+/vj5+dHtWrVyvzMiYmJLF++nM8//5yYmBgGDx7Mb7/9hqdn2RNyeM+fRtSAF4gdNhLPSydQK5TFBuac85cbtcZh49r/RDd1XjIgS5JUaZo2bYqNjQ1Hjx6lY8eOJCUlAVC9evVCWwdWptmzZxMVFcXrr7+Ok5NT7lKjirKzs8Pc3Dx36dOtuFSW/hqANjMNS88uGFnZI7IySL0awP1tH2HfYwLWLXogsjKI/WMpJi4NsG7ZE6WFLRmRV0g4+iPp4edwGuKf2937ddB9Grb24csvvyyyHffv3+fgwYO5Qfjy5csANGjQgE6dOjF37lw6depUoZ95TEwMX3zxBcuWLSM1NZXXXnuN9957LzfLWHm5tGyMy8XjhB8O5u6ipbgGHcIlNjJfGkktEOXgSmTbjjhPn4Snr74dkp98MiBLklRpjIyMaN++PUePHiUlQ82FyHhMqtenYbs2pGSoS9zVyVAUCgXffPMNd+/eZcCAARw4cABvb2+D1Jt3X+QZv4RgVrs1TjVb5Stn3ao3d9a9Q+KJHVi36IHCSIXTsE8xq9Ho3zIteqCydSLh6A+kh5/DvGYLAITSiLqDP8w3Uzw2NpZDhw7lvgFfuHABgHr16tGpUyc+/PBDOnbsWGhcuzxu377NZ599xrfffgvA2LFjmTx5Mq6urhWuOy8PPy88/H4AICU2nrunQlCnpaMyN8O5lSc1HKrwcFdcP3xy2ZMkSZXmWnQSby/bSkisQGXrlG+5jwJwt7egc4NqDG3jTj0n60pvT2pqKl27duXatWsEBARQr169CtfZtWtX7O3tmf/Vd3RberjIcve2zCXj7jXc/rexyDKZ98K4s2YCdl3HYNP6hXznpjfL4spx3Rvw+fPnAahdu3buMqROnToZNEnI9evXWbhwIevXr8fS0pKJEyfyv//9D0dHR4Pd42khlz1JkvTI5Cz3OXI9BqWiGka2FFp7K4DwuFS+Px7OusAwOtR1xL+vJ272FpXWLgsLC3777Td8fHzo3r07AQEBODs7V6jOGjVqEBoayg/HIzBSKtBkz6rWZqYj1BloM1JJu3actBunsGjUodi6NCkPADCyyP9LW2g1zFizG9vre+jUqRNTpkyhU6dOuLu7V6jt+pw/f55PPvmEn3/+mapVqzJ//nzGjBkjX8YeAhmQJUkyqILLfbQl9MHlBLCAG7F0XXKIuX2aMNjL8IEmh4ODA3/++Sft27fn+eef5+DBg1hbl//t3M3Njf3793Pg6r3cZwF48Pdqks/+qfuLQolF/XbYP1f8Uq/E49tQmFpgXjt/l7dCaUSjZwdwbO/KcrezJIGBgfj7+7Nr1y48PDxYtmwZr732Gubm5pV2Tyk/ubmEJEkGs+zANaZvDyFDrc0XnEpDoxVkqLVM3x7CsgPXKqmFOjVr1mT37t1cv36d/v37k5mZWe663NzcuBPzgIi41HzHbbxepNrgj3F4fhLmtVshhBY0WUXWkxDwM+lhZ7Hr+BpKM6tC56MSM0nJUJe7nfoIIdi7dy+dO3emffv2/PPPP2zYsIFr164xbtw4GYwfMvmGLEmSQWwOjsD/h70kHP2x2CU/ABlRV0kO2U9m1FUy74eBVoPH9F255xfvCaWqlSmDKvFNuXnz5uzYsYMePXowatQoNmzYUK7sVzVq1EBpU61Ql7yxgxvGDrplUVaeXYje/CH3ts7DecTnhRJmpFw+TPzh77Fq9hzWz/TSex8BhMWm0MTFtsxtLEir1fLrr7/i7+/PyZMnadWqFdu3b+fFF1+stHScUslkQJYkqcJuxaUye+dFNIn3SlzyA5D2z0mSz+3BpFpNVFWcUcdFFqpz1s6LtK/jWKljyp07d2bDhg0MHjwYFxcXFi1aVGz55ORkIiMjuX37Nrdu3eL27ducP38ehZFxifeyaOhD3J/LUMdFYuzw7+SrtJtniNn1OeZ1WmPfY3yxdWSqS588Q5+srCw2b97MJ598wuXLl+nUqRN79uyha9euBs9iJpWdDMiSJFXYjF9CUGsF5nW8MK/jle9cwSU/ANbP9MKm7QCUxqbE7VlOkp6ArNYKZvwSwvejKzeByKBBg7hz5w6TJk1CoVDw7LPPcvv2bb2f+Pj4fNdWrVqV6tWrI4rpis4hsjIA0Gak5B7LiLrK/e3zMXWuh+NL00tMr2miKt/ba3p6OmvXrmXRokWEhYXRu3dvVq9eTfv27ctVn1Q5ZECWJKlCrkUnceR6TJHnFUojVNaOZNz9d1zYyLLkXMwareDI9Riu30uibrXyT7oSQhAXF1dkkM35ACxatIhFixahUChwdnamRo0a1KhRg86dO+f+75yPi4sLZmZmCCGwcahKTnZlTUo8RpZV8rdBoyblwt8oVKYYO+q64bNibnFvy1xUttWoOnA2SmPTYp9DAdR0sCzTsyclJbFixQo+//xz7t27x8svv8yOHTto3rx5meqRHg4ZkCVJqpCCy32gfEt+9DFSKtgYFMGcPk30ntdqtdy/f7/EYJuenv5vnUZGuLi45AZWT0/P3AC7du1aDhw4wK5du3juuedK1UaFQkENp6ootWmkKC2I/XMZIjMVU7emGFk7oEl+QMqlg6hjb2P37GiUJuZoM1KJ/nkW2vRkbNr0I+16cL46je2cMXVtlO+Yu4NFqROpxMbG8uWXX/LVV1+RnJzMq6++ytSpUw2y7lqqPDIgS5JUIQWX+0D5lvzoo9EK/jwfgWfWFb2BNjIykqysf7uLjY2NcXV1zQ22rVu3xs3NLd+brZOTU5FbMfbr14/evXszYMAAjhw5Uuo3STc3N+ITw0i3b4Jlow4kn99L0pk/0KYloTQxx8S5LnadRuZObNOmJaFJvA9A/MF1heqzbNolX0BWIvCrW3JCjsjISD7//HNWrlyJVqtlzJgxTJkyxaAJQ6TKIwOyJEnllpyhLrTcB3RLfiwa+qJJiiX1ytESl/wU506yhoFDhmFqRG5QrVmzJr6+voW6katWrVqhWcImJiZs27aNTp060bNnTwICAqhZs2aJ17m5uRF75SCato2xbNwRy8Ydiy2vquKUb1Z5SbQo+H72G7jceZWRI0fmS6MJ8M8//7Bo0SLWrVuHubk5kyZNYuLEiVStWrXU95AePRmQJUkqt/DYlELLfaBsS35KolAoOHruKu0auj2UmcDW1tb88ccftG/fnh49enDs2LEStyWsUaMGu3fvpsswRwJuxJZ5DXZxjJQKPKuaYNaoJuPHj2fevHlMmTKFsWPHcvPmTRYsWMDmzZtxdHRk3rx5jBs3TmbVekLJBWeSJJVbaZfhWDT0IfPONb3Lm0rD3NL6oS7LcXJy4s8//yQ2NpbevXuTmlq4FyAvNzc37t69y9wXGqJSKiicKLT8VEoFX41oz+bNm7ly5Qq9evVi+vTp2Nvb06xZMw4fPsyXX35JWFgY06ZNk8H4CSYDsiRJ5VbaZTj6lvxUxn0MqV69evzxxx+cP3+ewYMHo1YXnSXLzc0NVKbcuHWHzi6gmxNtGH3dMnGzt0AIwa1btwgLC0Oj0WBpaYmxsTEPHjwgPDychIQEg91TejRkQJYkqdxqOljmCz2alPhCZfQt+SkTIdixcRXBwcHFBsXK4OXlxdatW/njjz8YN24cBTfHuxadxJydF5lzEtwmb+H1rf/wZ0TFknfkVSP2NJ+O68f48eNp27YtXbt2JT4+nq1btxITE8OtW7f43//+x4oVK6hZU9elHR4ebrD7Sw+X3H5RkqQK6fjpAcKzJ3bd2/ZxsUt+bLz7AqBOuEfyhb8BSPsnmMyoq9h2GAaAyrYaVk2fza3fOP0BUd+OITU1FWtra3x9fXO3G3zmmWdQqSp/Ksy6desYOXIks2fPZs6cOfl2syq45KsgIUSZutuNlApUSgWzezdCE3qEd955h7i4ODw8PFixYgXdu3cvVN+DBw/4+uuvWbp0KQkJCQwdOpTp06fTsGHDcj+zZDiljaEyIEuSVCFzdl7k++PhaLSClEuHSD6/l8z7YfmW/Fi3eiFfLuv08PNEb5qhtz5Tt6Y4D10A6ILT8DYezOhRj1OnTnHw4EEOHjzI0aNHSU1NxcrKqlCANjYuOY1leXzyySfMmDGDsZ9u4O8ER9RaUabJWyUF5pzA3r62Pc0zLrLyc39u3rxJz549cXFx4bvvvmP8+PF88cUXRS7bSk5OZtWqVSxevJg7d+7Qv39/ZsyYQcuWLcv8vJLhyIAsSdJDcS06iW5LD1da/fsm+RXK1JWVlVUoQKekpOQL0B07dqRVq1YGC9BCCHpMWcpV0/rkZOUyBAW6pB8+texQXD/C2i8+4e7duwwcOJD333+fFi1aAPDtt98ybtw4BgwYwIYNGzA1LTqzV0ZGBuvXr2fhwoXcuHGDnj17MnPmTHx8fAzSZqlsZECWJOmhGf7d8UpZ7tO+tkOpclnnBOhDhw5x8OBBjhw5QkpKCpaWlvneoCsSoD/dvI85c+aUuJNV0tk/Sbl4kKzY22gzkjGycsDM3ZMqPkNQVXHKLTe+Ux16eVbHVpnJdyu/4csvvyQxMZERI0Ywbdo06tevX6gN27dv55VXXsHHx4dffvmlxN/HarWan376CX9/fy5duoSfnx8zZ86kW7ducjOJh0gGZEmSHppbcal0XXKIjAruRpSXqUrJvkkdy7XbU1ZWFqdPn873Bp2cnIylpSU+Pj65Abp169alCtC34lJpO34xccd/xdS1Yb6drDJuX8y3k1XsX98gsjIwqeqB0swKdUI0Sef+Aq2W6qO+QmWtW9NsYqSga0YgG5YvQavV8sYbbzBlyhTc3Yuf+Hbo0CH69OlD3bp1+eOPP3Byciq2POhSjO7cuZP58+dz8uRJWrduzYwZM+R2iw+JDMiSJD1Um4MjmL49xGD1LeznabD9kNVqdb4AfeTIEZKTk7GwsCgUoE1MTApdX1QPgNBquLPuHYQ6C9c3VxR5/4y717m77h2qdHwV23YDc69V377IazWTefvtt6lWrVqpn+fcuXP06NEDS0tL9uzZQ+3atUt1nRCCffv2MX/+fA4dOkTjxo15//33GTx48EOZHPe0Km0MlV+NJEkyiMFe7rz7XOFu1vJ477kGBgvGACqVCm9vb6ZOncoff/zBgwcPOHHiBHPmzMHY2JgFCxbg4+ODnZ0dzz33HPPnz+fYsWNkZmbm7malrzs+ZycrbUZy8fe31QXbvOuwFUojjN2bMfLt6WUKxgDNmzcnICAAhUJB+/btOXv2bKmuUygUdOvWLbfXoGbNmgwfPpz69euzcuXKfJtwSA+ffEOWJMmgNp2I4P2tp0GhhBL2980rZ7nPvD5NDBqMS0OtVnPmzJl8Y9CJiYmYm5tTb/AMEp1aILIncRXcyerBgTVYNOpA1T7v5atTk5YIWi3qxPskHNtE2vUTVBv0Eea1/p3xnDOLvKjdrEpy7949evXqxbVr1/j111/p1KlTmes4e/Ys/v7+bN26FWdnZ959913efPNNrKysytUmqTDZZS1J0iPx888/M/TNiXSZvporCQqUCLTFzUgWWlAo6VDXEf++nuUaMzY0tVrN2bNnOXjwIN9GuZBpapt7LvbPZYV3sur5P4zM8gew8E/75m6ooTS3wdZnCDatXyh0Lw8HCw6927ncbU1KSqJfv34cPnyYH3/8kf79+5ernqtXr7JgwQI2btyIra0tb7/9NhMmTMDOruS9q6XiyYAsSdJDl5GRQePGjWnUqBH/+9//eGHoG4z7/EfO3ssiIjY1X4ZnBWCtyODumb/Zt2IWzTzK1m37MCRnqPGc81e+dmfF3kKdFJu7kxVGKhy6v4WRZf7AlR5+HqHOJCv2FikXD2LR0Dd3/DgvBXBhTvdS73WsT2ZmJq+++io//fQT33zzDWPHji13XeHh4Xz66aesXr0aExMT3nrrLSZNmlSqyWOSfjIgS5L00C1dupQpU6YQEhLCli1b+PLLL4mJiUGhUJCSoSYsNoVMtRYTlZKaDpbcvR1O3bp12bx5M4MGDXrUzS/kYlQCz391tNgy0Zs/RJuRXOxOVlkP7nDnu/FU6TwSm1aF35J//58vTVxs9VxZelqtlnfeeYevvvqKOXPmMGvWrAotbbp79y5Llizhm2++Qa1W8/rrr/Pee++VOAtcKkxO6pIk6aF68OAB8+bN4/XXX6dx48YEBQXRtm3b3KBgaaqiiYstLd3taOJii6Wpijp16uDt7c2mTZsecev1K81uVqXZycrYrjomTrVJuXiw3PcpiVKp5IsvvmD+/PnMmTOH8ePHo9Foyl2fs7MzCxcuJCIigvfff58ff/yROnXqMGrUKK5evVrh9kqFyYAsSZJB+Pv7k5mZydy5c9FqtbkBuSRDhgxh9+7dxMfHV34jy6g0m0yVdicrbVYmIkP/No4PYu8X2riiPBQKBTNmzGDVqlWsXLmSQYMGVXjmtJ2dHbNmzSI8PJwFCxbw559/0qhRIwYNGlTq2d1S6ciALElShYWFhfHll18ydepUnJ2dCQ0NJT4+nnbt2pV47csvv0xWVha//PLLQ2hp6Qkh+Gbh3NxAWZqdrIRWgya98BKojKirZN0Pw8S5rt77dG3THGdnZ55//nlmz57Nrl27uHv3brnb/vrrr7N9+3Z+//13evbsaZCtGa2srJgyZQo3btzgm2++4cSJE7Rs2ZLevXsTEBBQ4folOYYsSZIBvPLKKxw8eJBr165haWnJunXrGDVqFA8ePMDWtuSx0c6dO2NsbMyePXseQmtLZ9GiRUybNg23t75DaeNUqp2stOnJ3P76NSwadcDE0R2FsRlZ98NIDtmHwsgE5xGLMbZ3zXefGrYmTGuSTnBwMCdPniQ4OJiYmBgAXF1dad26db6Po6NjqZ/hyJEjvPDCC9SqVYvdu3fj7OxssJ+PWq1m06ZNfPLJJ1y+fJlOnToxY8YMunbtKtNyFiAndUmS9FCcPHkSLy8vVq1axeuvvw7AmDFjOHbsGBcuXChVHTkbJ0RFRT0Ws3k3btzI8OHDqVmzJhlN+2Dm+RxJF0veyUposnhwYC3p4edRJ95DZGViZGWPec0W2LYflC+XNeiyddlEn+WDng3o27cvJiYmCCG4detWbnA+efIkJ0+ezO3Sr1mzZr4A3apVK6pUqVLks4SEhNC9e3fMzc3566+/qFu38Ft6RWi1Wnbs2IG/vz+nTp3Cy8uLGTNm0KdPH5mWM5sMyJIkVTohBJ07dyYmJoZz587lbgvYvHlzvLy8WL16danqiY2NxdnZmSVLljBhwoTKbHKJ9u3bR8+ePalbty7Xr19n7fY/+SCg8jJYuZxZTeBfO3BycmL06NG8+eabeHh45CsjhODGjRu5wTk4OJhTp06RnKzrHq9Xr16+IN2yZUusrf/dISssLIzu3bsTHx/P7t27eeaZZwz+HEII9uzZg7+/P4cPH6ZJkya8//77DBo06KlPyykDsiRJle63336jT58+/PHHH/Ts2RPQJaqoUqUK3377LaNHjy51Xb179yY+Pp6jR4tfZlSZzp49i5+fH25ubly6dIkVK1bQpUsXen36BxlVPFAoDRdY8u5mdfHiRVasWMGGDRtISkqiV69ejBs3jh49ehS597FWqyU0NDQ3SJ88eZLTp0+TlpaGQqGgYcOGeHl55QZpFxcXBg4cyJUrV9ixYwfPPvuswZ6loKNHj+Lv78/u3bupXbs206ZN49VXXy12y8jySomN5+6pENRp6ajMzXBu5YmlQxWD36ciZECWJKlSqdVqPD09cXV1Ze/evbnjhn///TddunThwoULNGlS+pSQOd3E4eHhj2Sta3h4OG3btsXGxoYbN24wZswYWrZsydtvv41T7cYoX5hNlkaAgcZH9e1mlZKSwqZNm1i+fDmnT5+mZs2avPnmm4wePbpU+a7VajWXL1/OF6TPnj1LZmYmRkZGNGzYkPj4eKKjo/noo4+YNGlSpQTJHKdPn+aTTz5h27ZtVK9ePTctp6WlZYXqDT8czN1FS6kRdJDqsVH5ZidrgTsOLtxu2wnnqe/g4edVoXsZggzIkiRVqhUrVvDWW29x6tQpWrb8Nz+zv78/Cxcu5MGDB2UaQ0xKSqJatWrMnTuXqVOnVkaTixQXF4ePjw/JycmkpKTg6emJnZ0dv/76K6NHj8bf359e/5tPTO3nDHbP4nazEkIQHBzM8uXL2bx5MxqNhv79+zN27Fj8/PzKNGkqMzOTCxcu5AboEydOcP78eYQQKJVKWrZsmfsW7eXlRePGjcu9Z3RRLl++zMKFC9m4cSNVqlThnXfeYcKECcWOfesTdeYSscNG4nnpBGqFEpUoev12zvmQxt44bFyLS8vGFXyK8pMBWZKkSpOUlETdunXp0aMH69evz3euT58+pKenl2vG9Msvv8y1a9c4c+aMoZpaorS0NLp168alS5ewt7cnLS0NjUaDWq1m1apV9OjRgz59+hAYGMjYr3awNTSjwvd877kGjO9cuslVcXFxrF+/nhUrVhAaGkrjxo0ZO3YsI0aMKNUMdn1SU1MZPXo0mzdvpnnz5rlv1lqtFjMzM1q0aJFvTLphw4ZFdp2XRVhYGJ9++infffcdJiYmjB8/nkmTJpXq7f/EzIU0WzQLlUZdbCAuSK1QojZScX7qPLznT6tI88tNZuqSJKnSfPrppyQmJvLxxx/nOy6EIDAwsFQJQfQZMmQIZ8+e5cqVK4ZoZok0Gg3Dhg3j1KlT1K9fn1u3bhEVFUWLFi0ICQmhR48evPjiiwQEBPD777+zeGRXFvTzxFSlxKiMvz2NlApMVUoW9vMsdTAGsLe3Z9KkSVy5coX9+/fTuHFjJk+ejIuLC2+88QanT58u41ODhYUFP/74IwsWLODcuXP4+Pjw4MEDjh49yoIFC6hTpw579+7ltddeo2nTptja2uLn58fkyZP58ccfCQ0NRaste3axmjVr8vXXX3Pz5k3Gjh3LsmXL8PDwYOLEidy6davI6wJHT8bbfzqm6swyBWMAldBiqs7E2386gaMnl7nND5UohYSEBAGIhISE0hSXJOk/7Pbt28Lc3FxMnz690Lnr168LQPz+++/lqjstLU3Y2NiI2bNnV7CVJdNqtWL8+PFCqVSKzp07C0CYmJiIL7/8Umi1WpGWlia6d+8uzM3Nxd9//53v2ojYFNHl41+Ex/Rdwn3qr8Jj+q4iP7Vn/C48pu8Sw1YHiYjYFIO0PSoqSsybN0/UqFFDAMLLy0usWbNGpKSUvf41a9YIIyMj0bdvX5GWlpbvXHx8vDhw4ID49NNPxaBBg0Tt2rUFIADhYu8oXu3wnPh42Jti49xF4tLpc0Kr1Zbp3rGxsWLOnDnCzs5OGBsbi1GjRonQ0NB8ZY7PWCCSQMwC0R2EXfb914IQej4/gWgDwhaEPQg/ELvynD8+c2GZf0YVVdoYKgOyJEllMmrUKOHo6Cji4+MLndu4caMARExMTLnrf/XVV0X9+vXL/Mu9rBYsWCAA8cwzzwhAuLq6igsXLgghhEhPTxe9evUSZmZmYt++fXqv79atm3Co1UTYdX1TNHx3s3Cf9lv+YDztN+Exfo2Y/esFcS06sVKeISsrS+zYsUP06NFDKBQKUaVKFfHOO++IK1eulKmenTt3CjMzM+Hn5ycePHhQZLmwQyfE0R6DRISds9AUCIQaEDdtqoofG7cTH70xUfzyyy/i1q1bpfrvmJiYKD799FPh7OwslEqlGDRokDh37pyIPH1RpKlMxI3sIOwOolMxAfnL7HPPg1gOYgmI5tnHtuk2+hRpKhMRefpimX4+FSUDsiRJBnfu3DmhUCjEV199pff8hAkTRP369St0jz///FMA4tSpUxWqpzjff/+9AISzs7MARLNmzXLfDtPT00Xv3r2Fqamp2LNnj97rw8PDBSDMzMyEjY2NcHV1FWMnvC0uRMaL0+Fx4kJkvPh5+68CEP/880+lPUde//zzj5g6dapwdHQUgHj22WfFli1bRGZmZqmuP3r0qKhSpYpo1qyZiIqKyncu8vRFcb6xtxAgshRKvW+mOZ+c8wec6oi61o7CyclJPP/882LOnDli165d4u7du0W2IS0tTXzzzTfCw8NDAOKoWyORpVCKdBB3susPLiYg1wPhlR14c44lgLAC0SdP+8439q7Qz7qsZECWJMngunfvLurVq1fkL/lWrVqJESNGVOgeWVlZomrVquLdd9+tUD1F2bt3r1AqlcLY2FgolUrh6ekpMjIyhBBCZGRkiD59+ghTU1Px559/FlnHxx9/LMzMzAQg2rRpIwBx+PDhfGXi4+OFkZGR+PbbbyvlOYqSnp4uNm7cKHx8fHK/dHzwwQciIiKixGsvXLggXF1dRc2aNXO7jo/PWCDSVCYlBmJ9gTlNZSJW9BosevToIRwcHHK7u2vUqCFeeukl8fHHH4u//vqrUI9KZmamWDNnod56iwvITtlvxwWPO4MYVOBY2JHgSvn56yMDsiRJBrVnzx5d19+2bXrPp6SkCJVKJZYvX17he7311lvCzc1NaDSaCteV1+HDh4VKpRKAsLW1FW5ubuLevXtCCF0Q6Nu3rzAxMRF//PFHkXVotVpRt25d4enpKQDRvXt3Ub16db1tbdu2rXj55ZcN+gxlcf78efHWW28Ja2troVQqRZ8+fcTu3buL/bmGh4eLBg0aiKpVq4o/B4wWosAbZ1k+OdcFjJoktFqtCAsLE1u2bBHTpk0TXbp0Eba2trlBulatWmLgwIFi4cKFYv/+/eJYz0F6vwQUF5AHgTDK7rq+CeIyiLdAmIMIKPBlIej5Vx7afwcZkCVJMhi1Wi2aN28ufHx8ihwTPHLkiADEmTNnKny/w4cPC0AcOXKkwnXl2LRpk1AqlUKpVIqWLVsKKysrcf78eSGELhj3799fGBsbi99++63YenKeM6dbtXr16mLixIl6y37wwQfC0dHR4F8syioxMVGsWLFCNG/eXACidu3aYuHChblfRgq6f/++mN3CT5wAMR5EYxAWINxADARxNU9w02QHxxdA1Mgu1wTERyDS8pTTN5lKo9GIa9euiU2bNonJkycLPz8/YWVlJUA3Hl3WN+RoEF2yz+d8HAsE45zPLQfXyv6x55IBWZIkg1m3bp0ARGBgYJFlFi1aJCwsLERWVlaF76fRaESNGjXEW2+9VeG6MjIyxMSJE3PHfEePHi0UCoX49ddfhRC6LvKBAwcKY2NjsXPnzhLrGz16tHB3dxdKpVI4OTnpxjqPHtVb9sCBAwb7kmIIWq1WBAQEiOHDhwtTU1NhYmIiXnnlFXHkyJF8X7RyJlP1z+7u/R+IVdlB1gmEJYiQ7MCWlB342oL4GMS3IEaCUKKbgKWlbJOp1Gq1OB1wvNCksdIE5KTsN+JXQWwBsQaEZ/YzXCtQVgMiOeZBJf60/yUDsiRJBpGSkiJcXV3FwIEDiy3Xr18/0bFjR4Pd99133xVVq1atUIC/dOmSaN68uVAoFMLCwkJ8+umnAhALFiwQQuiC8aBBg4RKpRI7duwosb7k5GRhZWUlBg0aJADRtGlT4erqWuQbcHp6ujA3NxeLFy8u9zNUlpiYGLF48WJRt27d3Gf5+uuvRUJCgjjf2FtkKZTiGIiMAoEsFIQpiKHZf88AcUxPcJybHTj35ukmLu1kqut/HS6yG7y4gNwDRO8Cx2LRLX96WU/5638dLrkxBiADsiRJBjF//nxhbGwsrl+/XmQZrVYrqlevrndtcnmdOnVKAOKvv/4q87VarVYsW7ZMmJmZCSsrK2Fqaiq+++47YWZmJoYNGya0Wq1Qq9XilVdeEUZGRkWOixe0YcMGAYgePXoIQDg4OIh33nmn2Guee+450aNHjzI/w8Oi0WjEnj17RN++fYWRkZHwcvIocWz4mexPcWXOZwfOLwscL81kqis79pQ5IP+TffxbPdf0AeGq5/iVHfpn0RuaDMiSJFVYdHS0sLa2LjHo5CwDKs1bZmlptVpRv3598dprr5Xpujt37oiePXsKQHh6egqFQiHWrl0rqlevLtq0aSPS0tKEWq0Ww4YNE0ZGRmLLli2lrrtz586iY8eOokqVKsLIyEgAIiAgoNhrcrryc2ZyP85u374tdrTuUuyMam12cHuuhIC8JztA/pjnWGknU5XnDTkg+/hyPdf0RNfVLt+QJUl6Yr311lvC1ta2xEQfP/30kwCKXWNaHrNmzRI2NjaFMkgVZceOHcLRUbf2deTIkQIQX331lWjdurWoUaOGuHPnjlCr1WLEiBFCqVSKzZs3l7otN2/eFICYP3++AETVqlVLNRM8503/0KFDpb7Xo3TbwaXYQPt9duD7roSA3BWEDYgHBY6XZjJVcsyDMo8h3yP/uHXu/dCtQ+5RoPzjOIYsc1lLkqTX1atXWblyJTNnzsTBwaHYskFBQdSqVQsnJyeDtmHIkCEkJiaye/fuYsslJyfzxhtv8NJLL+Hj48OsWbNYu3YtH3zwAceOHePixYv8+uuvVKtWjddff52NGzeyceNGBg0aVOq2rF+/HisrKzIzMwHdphQDBw4scUerFi1aYG9vz/79+0t9r0clOeYB1WOjijx/BRgPtANeLaYef2AfsACoUuCcS2wkKbHxxbbD0qEKdxxc8h1bBnwMrMn++2/Zf/8YSACqAqOAg0CX7PKfZLc1DXi/wD2iHFwfu32T5RuyJEl6vfTSS8LDw6NUb6dt27YVQ4YMqZR2tGjRotgJZUFBQaJu3brCwsJCfPvtt+Kvv/4SKpVKjBw5Unz00UcCED///LPQaDRi9OjRQqlUio0bN5apDRqNRtSqVUuMHDlStGjRQpD9lhYUFFSq6wcMGCDat29fpns+CsV1Fd8BURvd0qfIYt6MN4NQgBhdTJnSdBUHPf9Kvq5zD/IvZ8r7uZnTJQ7iKxAtst+KrUB0BvF3gfvLdciSJD0xctYB//DDDyWWTU9PFyYmJuKLL76olLYsXLhQmJubi8TE/Pmgs7KyxNy5c4WRkZHw9vYWoaGh4syZM8La2lr06NFD/PzzzwIQc+bMERqNRrz55ptCoVCIDRs2lLkNOcuXdu/enZvly93dvdT5tlesWCGMjIwe+9+hRU2mis8OcvYgLhYTaPeAMEE30zmrmHKlmUwVduhEsV3iFf3ITF2SJD32tFqt8Pb2Fq1atSpVQougoCABiBMnTlRKe8LCwgSQ7632+vXrol27dkKpVIpZs2aJzMxMcfPmTeHs7CxatWolAgIChKWlpRgwYIBQq9Vi3LhxuZO7yuPVV18VderUEVu3bhWg2xWqLKk9r127JoASk448avrekNNAdECX8ENfgo2cTxC69cntQaSWEAxLO5kqZ/mVIQOxzGUtSdITY/PmzQIQBw4cKFX5JUuWCFNT00qdRdy+fXvx/PPPC61WK9asWSOsrKxE7dq1c2c4x8bGioYNG4ratWuLkJAQ4e7uLlq2bCmSkpLE+PHjBSC+++67ct07MTFRWFhYiI8++kgMGzYst5u0LF9AtFqt8PDwKHG2+qNWcDKVGt2SIRWI34sJcpdAOKDL0BVXQkAsy2SqnAQl5U3dWfAjd3uSJOmJkZ6eLmrVqiVeeOGFUl8zaNCgSh8f/eqrr4RKpRLPP/+8AMTIkSNzu7BTU1OFj4+PcHR0FBcuXBA+Pj7CyclJhIeH52boqsgGD2vWrBEKhUKEhYUJOzs7AQg3N7cybw85atQo0bRp03K342HJO8v67ewvHy+gm11d8CNAJKIbV1aCWKCnTMG36rKmrDw+Y4FB35DlfsiSJD0RPvvsM2FkZCQuXbpU6ms8PDzElClTKrFV/761W1hYiK1bt+YeV6vVom/fvsLc3FwEBgaKkSNHClNTUxEQECDeeecdAYgVK1ZU6N4dOnQQXbt2FWfPnhWAUCqVYurUqWWu58cffxSAuHPnToXaU9nyTqbqSNETqcgOcDdLKPNqge7i8kymChg1KfcNt7xvxgJE4OjJlfATK5kMyJIklUlcXJyws7MTY8aMKfU1UVFRAihTco2ySE1NFW+//bYAhL29fb43ca1WK8aPHy+USqXYuXOn+OyzzwQg1q9fL6ZMmSIA8fXXX1fo/jljvxs3bhT+/v5CoVAIQJw8ebLMdd29e1eUdqLco/S4Tqaq6DaQj+LNOIcMyJIklcmUKVOEpaVlmd7gtm/fLgBx69Ytg7fn7NmzokmTJsLU1FQsXbpUrFq1SigUChEZGSmEEGLBggUCECtXrhS///577pvr1KlTBegSglTUhx9+KGxsbERKSorw8vISgHBycipzd3UOT09PMWrUqAq3q7I9rpOpIk9f1NWRXV9J9xMgzjf2fuhjxgXJgCxJUqnduHFDmJiYiHnz5pXpuqlTpwpXV8NuY6fRaMTixYuFiYmJaNasmQgJCRFCCPHgwQNhYmIilixZkptT+sMPPxQXL14UNjY2onfv3mLatGkCEEuXLjVIO9zd3cUbb7wh4uLihFKpFICYNGlSuet85513yjX+/LA97pOpwg6dEEHPvyJuObgWyuilQTdOHfT8Kw91aVNxZECWJKnUBg8eLKpXry6Sk5PLdJ2fn58YMGCAwdoREREhOnfuLADx7rvvivT09HznX3zxRdGwYcPcxB/3798XderUEU2aNBHvvfeeAMRnn31mkLbs27dPgC5XdU5qUECcPn263HXu2rVLACI0NNQgbaxMT8pkquSYB+L6X4fFlR17xPW/Dj+0dJhlIQOyJEmlcuLECQGI1atXl+m6zMxMg24tuHnzZlGlShXh6uoq9u/fr7dMTje1n5+fSElJEZ07dxYODg65s6kXLVpkkLYIIcTQoUNF/fr1hVarFSNGjBAKhULY29tX6O02MTFRqFQqsXz5coO1szI96ZOpHhcyIEsGkZyeJS5ExovT4XHiQmS8SE6v+Obz0uNDq9UKPz8/0bRpU6FWq8t0bc6mCUePHq1QG+Lj48Xw4cMFIF5++WURFxent9zNmzdFtWrVcpOBjBs3LvdNGf7d49gQ4uPjhbm5ufD39xcajUbY29sLQAwfPrzCdfv4+Ij+/fsboJUPx5M8mepxUdoYqio527X0tLkWncQPxyM4cPUeEXGpiDznFIC7vQWdG1RjaBt36jlZP6pmSgawc+dODh8+zO7duzEyMirTtUFBQRgbG/PMM8+U+/5Hjhxh+PDhPHjwgNXrvqdt1xcIS9ISlZZATQdLLE11v6JiY2Pp0aMHVlZW+Pj4sHr1aqKionjppZdYu3Yt8+fPZ9q0aeVuR0E///wzGRkZjBgxgjNnzhAXFwfAxIkTK1x3165d+eqrr9BoNGX+mT8K3vOnETXgBWKHjcTz0gnUCiUqoS2yfM75y41a47BxLd4tGz/E1j7ZFEIIUVKhxMREbG1tSUhIwMbG5mG0S3oEbsWlMuOXEI5cj8FIqUCjLfqfRs75DnUd8e/riZu9xUNsqWQIWVlZeHp64ubmxp49e1AoFGW6fvjw4Vy9epUTJ06U+d6ZmZnMmTOHxat+oH6vUdg0bMedxCy9X/461LVnzzezuHk2gICAAH766Sc+/PBDmjdvzrlz55g3bx4ffvhhmdtQHB8fH6ytrfnzzz/56KOPmD17Nubm5iQnJ5f551TQkSNH8PPz4+TJk7Rq1cpALX44wg8Hc3fRUlyDDuESG0nefa606HZQimzbEefpk/Dwbf2omvnYKW0MlW/IEgCbgyOYvfMi6uwgXFwwzns+4EYsXZccYm6fJgz2cq/0dkqGs3r1akJDQ9m8eXO5gkxQUBA9e/Ys83VXrlxhyOsTuOPWCZfXvyFNqSA5MatQOQGEx6USfjwZWr9Ju57juZOUxWeffYZSqeTcuXPMnj3b4MH46tWrBAQEsHnzZgB27dqFEAJfX98KB2OANm3aYGlpyf79+5+4gOzh54WH3w8ApMTGc/dUCOq0dFTmZji38qSGQxVqPOI2PsnkG7LEsgPXWLwntML1vPtcfSZ0rmeAFkmVLTExkXr16tGzZ0/WrVtX5utjYmKoWrUqP/74I0OGDCnVNUIIVqxYwcw1v2PT+XWUKmNK+N6Xj5ECNOosMgK+5+6x7VSpUoXY2NgS9yMuqxkzZrB8+XLu3LlDcnIy1apVQwjB9u3b6du3r0Hu0atXL9RqNXv27DFIfdLjTb4hS6WyOTiCxXtC0WamkXh8OxlRV8m8E4o2PRmHXu9g1axrblkhtKSE/E1qaACZ0TfQpiehsnXCopEftm36sXhPKFWtTBkk35Qfe4sWLSIxMZGPP/64XNcHBQUB0LZt21KVj46OZvTo0RyJs8Su6ziAMgVjAI0AoVRh2mEUHZo+w5GVH3Dy5Em8vb3LVlFx99Bo2LBhA0OGDMHMzIzt27cjhECpVPLiiy8a7D5du3blgw8+ID09HTMzM4PVKz3ZDPvVUnqi3IpLZfbOiwBoUxNJOLaJrNhbGFerpbe8yMog9o+laFITsG7ZE7sub2BSvT4JR38k+ufZCCGYtfMit+JSH+ZjSGUUGRnJ559/zqRJk6hRo3wdjEFBQVSrVo2aNWuWWPa3337D09OT0wlm2HUcobdMVlwk939dyO2vXyVicX8ivx1L/NFNaLPS85XL6TKOsGuBS4cBbNq0qVztL8q+ffuIjIzktddey207QJMmTQz6Jt6lSxfS0tIIDAw0WJ3Sk08G5KfYjF9CcseMjazsqTHhe2q8tRa7zqP0llcYqXAa9inVR3yGbftBWLfogePz72DrM4SMiBDSw8+h1gpm/BLyMB9DKqMPP/wQKysrpk+fXu46goKCaNeuXbFjqikpKYwdO5Y+ffrwTIduWHfU/+9KnXifu+snkxF5FetnemPX9Q1MXRuScPQHYn79tMj6TdsP56ff96PRaMr9HAWtXbuWxo0b4+XlhUaj4ffffwdg8ODBBrsHgKenJ1WrVmX//v0GrVd6ssmA/JS6Fp3EkesxuZOzFCpjjKzsir1GYWSMWY1GhY5b1G8HQFbMLTRawZHrMVy/l2T4RksVdu7cOdatW8fs2bPLPR9Eo9Fw/PjxYrurg4ODadmyJRs2bGDFihU49pqIuogu6pQLB9BmpFBt4Gxs2w3M/aJn2fRZ0q4fR5OerP9CpRGaZwZy5MiRcj1HQZHRMew6dpYew8Zx6U4iR4OCSUrS/Tt+9dVXDXKPHEqlkmeffZZ9+/YZtF7pySYD8lPqh+MRGCkrPmMUQJPyAAAjC90veCOlgo1BEQapWzKsqVOnUq9ePd58881y13Hp0iWSk5P1BmS1Ws3HH39M+/btsbW15cyZMzz70isczfPlryBtpm6Iw8iySr7jRlb2oFCiUOqf6qIVYF7rGVb99Fu5n+VadBJzdl6k46cH8FkahOOwz9iWWIvnvzrKq7ticBnzLdV7TyRVZfjJrF27diU4OJiEhASD1y09mWRAfkoduHqvxKVNpZV4fBsKUwvMa+uWcGi0ggOh9wxSt2Q4e/bsYc+ePSxYsABjY+Ny1xMUFIRSqaR16/zrTG/evEmnTp2YPXs206ZNIyAggAYNGpT45c/M3ROA2D++JDP6BurE+6RcPkzSmT+wbvUCSpOiJz0pEBy4rSYzM7NMz3ArLpXh3x2n29LDfH88nPC4VHQrn/PXbmzngkmTrnRbepjh3x036PyILl26oNVqOXjwoMHqlJ5sMiA/hZIz1EQY6BdLQsDPpIedxa7jayjNrHKPR8SmkpKhNsg9pIrTaDS89957+Pr68tJLL1WorsDAQJo1a4aVle6/txCC9evX07x5cyIjIzl06BAff/xxbtAv6cufee1W2HYYRnrYWe6snUjkNyOJ+XUR1q1ewL7rG8W2RaBA4dK0TF2/m4Mj6LrkEAE3YoGS19yj0P2azFlzvznYML0/tWrVonbt2nIcWcollz09hcJjUzDEu3HK5cPEH/4eq2bPYf1Mr3znBBAWm0ITF1sD3EmqqA0bNnD+/HmCgoIqnNwiKCiIjh07ArqUlmPHjmXr1q28+uqrfPnll/nGpkv75U9l64SpWxMsGrTHyNyG1H+CSQz4GSPLKti0eqHYa43tqrNx8xZ69epVbDmo2Jp7jVag0Qqmbw8hJjnDIGvuu3TpIseRpVwyID+FMtVF56EtrbSbZ4jZ9TnmdVpj32N8pd1HqrjU1FQ++OADXn75Zdq0aVOhuuLj47l8+TLTpk1j3759vPrqq6SlpfHzzz8zcODAQuVL8+Uv5dIh4v5chsubK1HZOAJg0aA9CEH8wXVYNu6IkXkxY7gKBX8cCSY1NRULi6JTuG4OjsD/h70kHP2RzLvX0aTEozA2xdjBDZs2/bCol/9nkxVzi7j9q8i4fQmFkQrzOl7YdXkdIwtbg62579q1K6tWrSIyMhJXV9cK1SU9+WSX9VPIRFWx/+wZUVe5v30+ps71cHxpOgql/gT5Fb2PZBhLlizh/v37fPLJJxWu6/jx4wAcPHiQbt260ahRI86fP683GEPpvpQlnf4DE6faucE4h0Vdb0RWBpnRN0qsIy0jK3eJkj45a+41iffQZqZh6dkFu65vYNt+EAD3t31E0tk/c8urE2O4+8M01A/uUKXjCGy8+5H2TzDRmz9AaHRpPg2x5r5z584A/P333xWqR/pvkL8xn0I1HSwLTV8prayYW9zbMheVbTWqDpyN0thUbzlF9n2kRys6OpoFCxYwYcIEateuXeH6duzYgVKp5Mcff+Tzzz9nz549xSYXKc2XMk1qPELP7kFCm72+WFvyOuPGDern5p7WJ2fNvXkdL5wGzaOK7ytYt+iBjdeLOL3ij3G1WiSe2JFbPiHwZ0RWBk5D5mPTug+27V/G8aXpZN27SXKIbszXEGvuq1atSosWLWS3tQTILuunkqWpCnd7i+yZpf9KPPUb2vQUNMm6rebSrp9AnRQDoBvHUyiI/nkW2vRkbNr0I+16cL7rje2cMXXVrVN2d7DI3TpPenTmzp2LSqXigw8+qFA9Wq2WpUuXsnLlSiwtLQkICMDT07PE63K+/BXXbW1s50Ja2Bmy4iIxtv+32zbl0iFQKDGuWrPYewghiAo9x/m7kSxZsoROnTrh6emJSqX795ez5r4oCqURKmtHMu5eyz2WejUA87peqGyr5R4zr9kClb0rqZePYN2iR74193WrlX8b0i5durB582aEEAbZvEJ6csnfmE+pzg2q8f3x8HwzTBOP/4Im8d/lSqmhARAaAIBVE13XmibxPgDxB9cVqtOyaRdMXRuhEFq8XOR2jI/alStX+Pbbb1mwYAH29vblruf27du89tpr7N+/H1NTUyZNmlSqYAxFf/nLy6ZNf9JunOLuxmlYt3peN6nr+gnSb5zCqvlzqKwdir2Hg4mGJs92ZOPGjbz77rtotVrMzc1p1aoV3t7e3HXtgJHCGE2ebwXazHSEOgNtRipp146TduMUFo06AKBOikGbGo+Jc91C9zKtXp+0f07m/j1nzf2cPk1K9fPQp2vXrnz22WdcvXqVhg0blrse6cknA/JTamgbd9YFhuU7VuOtNSVe5zF9V4llhELJ8ilDyAzqzfTp03FxcSlvM6VySslQM3H2Imo096XLgFdJyVCXq8diy5YtjBkzBnNzc7777jtGjx5Nhw4dylSHvi9/eZm5N8V5+KfEH/2R5NN/oElLQlXFiSp+I7Bp27/Yuo2UCvq0rsuced8TERGBiYkJc+bM4fjx4xw/fpzt27eT2b0hxnb5/w0++Hs1yTljxgolFvXbYf+cbtMLTXJ2ohurwl9ijKzs0KYnIdRZKFTGuWvu51D+gNyhQweMjY3Zv3+/DMhPORmQn1L1nKzpUNeRgBuxBksQArpfkN7utjSdMJrFixezatUqxo4dy7Rp03B2djbYfaTCrkUn8cPxCA5cvad7I63dH2pD35UnUADu9hZ0blCNoW3cqedUfBdrYmIiEydOZP369QwYMICVK1eyc+dOFApFmXdX0vflryBTlwY4vTy3TPWCbinSsLa6mc5DhgxhwoQJ/Pjjj/j4+AC6ZVeec/4q1GVu4/UiFg190STFknrlqG4MO3uyllBnALpUsQUpjExyyyhUuvM5a+7LO0RjaWlJu3bt2LdvH+PH61+xID0d5KSup5h/X09UBkqfmUOlVLBoYEtmzpxJWFgY77//PmvXrqV27dq899573L9/36D3k4rKOpWfAMLjUvn+eHiJWaeOHj1K8+bN2b59O+vXr+fnn3/G3t6eoKAgGjdujK1t2daW17BRYRp3499JWgZipFTQoa5j7vjtgAEDUCgUbN26NbdMUcuujB3cMK/ZAivPLlQbOBuRmc69rfN047gq3UTFnNnUeQmNLiNYThn4d819RXTp0oUDBw4YdKMM6ckjA/JTzM3egrkVGPvSZ16fJrjZ68aPbW1tmTVrFjdv3uTdd99l5cqV1KpVi/fff5/Y2FiD3vdpVdasUznn9WWdysrK4oMPPqBjx464uLhw7tw5RowYkTvRKDAwsNT7H+feT6PhlVdeIfLXzzBRGYEwXG+MSqnAv++/Y9mOjo5069Yt35aMpV0Lb9HQh8w711DHReZuspIzuTEvTfIDlGbWuW/HZb1PUbp27UpCQgKnTp2qUD3Sk00G5KfcYC933n2ufsUqyf4l+95zDfQmSrCzs2PevHncvHmTiRMn8tVXX1GzZk0+/PBDHjx4ULF7P8WWHbjG9O0hZKi1ZR520GgFGWot07eHsOzANUJDQ2nfvj0LFy5k3rx5HDp0iFq1/t0XOykpiQsXLpQpIAshmDhxIjt37uT75UtQnN4KBpxFnPfLX44hQ4Zw5MgRbt26BZR+LbzI0nVTazNSUFk7orSwJfPu9ULlMu6EYuJUeL/wiq659/LywsrKSqbRfMrJgCwxoXM9FvTzxFSlLPMOUEoFCHUmz6gvM75z4VmpeTk4OODv78/Nmzd56623+Pzzz6lZsyZz5swhPj6+Ak/w9NkcHMHiPaFoM9OIP/ID0T/N4tbSwYQv6E3y+cJrWpPO/sndH6Zz68thhH/6EreXjybm96Wo46NZvCeUdkMnk5CQQEBAADNnzsxdMpTj5MmTaLXaMgXkhQsX8s033/DVV18xbdo0rv25jlpJhtkru6gvfy+++CJmZmb89NNPQOE195qU+ELXCI2alAt/o1CZYuyoq9OiQXvSrgejTvx3iCUt7CzquEgsGvrmu94Qa+6NjY3p1KmTXI/8lJMBWQJ0b8r7JnWkfW3dEpOSAnPOeZ86jrxa9RY7PpvK0aNHS3WvqlWrsnDhQm7cuMHrr7/OwoULqVWrFh9//DGJiYkVe5CnQE7WKQBtaiIJxzaRFXsL42qF39xyZEbfQGXrhG2bfjg89xZWTTqRduMkd9ZPIisxBtsub/Lb3wF4eXnpvT4wMBAbGxsaN25cqjZ+//33vP/++7z//vt8+umnXLt2jTfeeIMDy6aX+8ufkVKBqUrJwn6eRX75s7Gx4fnnn89NEpKz7CpH7J/LiN40g/ijP5J07i/ij20mas0EMqP/oYrfMJQm5gDYtnsZhbEp0T/OIPHkbyQE/kzMjgUYV62JlWe3fPc01Jr7Ll26cOzYMdLS0ipcl/RkUghR8qBOYmIitra2JCQklHtTc+nJkTtbN/QeEbGp+SbFKND9AupcvxrD2rpTt5o1Go2GDh06cP/+fc6dO1dsPmF97ty5w4IFC3KTTrz33ntMmDAhdzchKb/h3x3PnR0v1Flo05MxsrIj48417q6fhEOvd7Bq1rXEejLuXufuuneo0vFV7H1epn1tB74frT/XdZ8+fUhLS2Pv3r0l1rt371569erFkCFD+Pvvv4mMjGTChAl89dVXuWVuxaUy45cQjlyPwUipKLbLPed8h7qO+Pf1LNRNXdC2bdsYMGAAoaGh1KtXjzk7L+Yuu0q5dIjk83vJvB+GNi0JpYk5Js51sW71QqFc1pn3w3nw92pdLmulCvO6Xtg9OxojS7t8bRvexqNC65BzXLhwAU9PT/bu3UvXriX/95OeHKWNoTIgS8VKyVATFptCplqLiUpJTQdLvW8DV69epUWLFowZM4alS5eW6163b9/mk08+YdWqVdja2jJ16lTeeustLC1lCs4c16KT6Lb0sN5zZQ3ImrREbn/xCjZtB2DX6TUA9k3yK5R1SgiBk5MTY8aM4aOPPiq2zjNnzuDn50e7du04f/480dHRTJkyhcWLFxf5PGX58lcaaWlpODk58e677zJr1qxif2aGoO9nVh5CCKpXr87IkSMNkndcenzIgCw9dEuWLGHy5MkcPHgwd3u+8oiIiMDf35/vvvsOe3t7pk+fztixYzE3Nzdga59Med/2CipNQNakJYJWizrxPgnHNpF2/QTVBn2Eea2WRb7t/fPPP9StW5fff/+92C0Ow8LCaNeuHc7Ozty+fZuYmBhmzJjB/PnzS/Vspf3yVxojRowgODiYS5cuoVAo8vUqGIqRUlFsr0J5DB06lNDQUIKDg0suLD0xShtD5RiyZDATJ07E19eXUaNGkZycXO563N3dWbFiBdeuXeOFF17gvffeo3bt2nz11Vekp6cbsMVPngNX71UoqNxe9iq3vxrG3fWTyIi8gl3XMZjXagmQm3WqoKCgIIBit26MjY2lR48emJmZERYWRkxMDHPnzi11MAbdeG8TF1tautvRxMW2QuOyQ4YM4cqVK5w/fx6Aj19sgtCoKcX7R6kVXHZlCF27duXUqVNy9cFTSgZkyWCMjIxYu3Ytd+7cYfr06RWur2bNmqxevZqrV6/SvXt33nnnHerWrcs333xDRkaGAVr8ZEnOUBNRwe3+nF6eS7WBc7B7djQqm6qIrPxfcHKyTuUVFBREvXr1cHDQn1M6LS2NPn36cP/+fWJiYoiPj2fBggXMmjWrQm2tiK5du+Lg4MCmTZvIyMhg+v/e4P6f3xh08wZ9y64qqkuXLgghOHDggEHrlZ4MMiBLBlW3bl0WLFjA119/bbBfKnXq1GHdunVcvnyZzp07M2HCBOrVq8e3335LZmamQe6RV0qGmotRCZyJeMDFqIRCAepRKSrrVFmYeTTDvE5rbLz74vjSdBKObSLx1G+55wVw+U5ivucPOHGKdu3a6a0vJ/HHmTNnSE9PJzk5mSVLljBt2rQKtrRijI2NGThwIJs2baJXr1788ssvjHuuGQ8ObTBI/UUtu6ood3d36tWrJ5c/PaXkGLJkcFqtls6dOxMREcH58+extq74hJe8Ll++zLx58/jpp5/w8PDgww8/ZPjw4RgbF849XFp580BHxOmZXFSGPNCV5UzEA/ouDyjyfFkndQHc/f5d3WSiEZ8VWUYIgZ2xmpe86uV7fiEEEyZMYMWKFRgbG5ORkcE333zDuHHjyvZgleSXX36hX79+WFpa8vvvv7N48WKio6OZ/PVWZu+8iForytT9b6RUoFIqmNenSaUE4xzjxo3j77//5urVq5V2D+nhkmPI0iOjVCpZu3Yt9+/fZ+rUqQavv1GjRmzatInz58/TunVrRo8eTaNGjdiwYQNqddneZvXlgS74K7oseaArU0WzQemjzcpEZBT/LAqFgni1caHnz0n8YWRkREZGBqtXr35sgvH169eZMmUKSqWSF198kQYNGrB7925ee+21cq+5b1/bgX2TOlZqMAZdd3toaGhutjHp6SEDslQpateuzaJFi1ixYkWldb81bdqULVu2cPbsWTw9PXn11Vdp3LgxP/zwQ6mS9BsyD3Rl0Wg0nD17li+++IKZE98s16QkodWgSS88yS4j6ipZ98P07vurty15nr/z4r+Zv+kARkZGqNVqvv/+e0aPHl3mtlWG06dP4+Pjg4mJCaNGjWL//v2sX78eIyMjhgwZAujyuH8/ug173/Fj0DPVUT+IggJfxRSAh4MFw9t4sG+SH9+PbmPwMWN9OnfujEKhkGk0n0Kyy1qqNFqtlm7dunH9+nVCQkIq/d/O6dOnmTNnDr/99hsNGzZkzpw5DBw4EKWy8PfOZQeusXhPaIXv+e5z9ZnQuV6F68mRlZXFmTNnOHToEIcPH+bo0aPEx8djampKmzZtiG0/kWTM8l2TeOo3tOkpaJLjSD7zBxb122PsVBsAm1YvAILbX7+GRaMOmDi6ozA2I+t+GMkh+1AYmeA8YjHG9q5laqcQAoVCwYNDG/j27X4MGjTIUD+CCtm3bx99+/alSZMm7Nq1i7CwMLy8vPDw8KBNmza5KTXz2rVrFy+88ALnL11FaetkkGVXFdW6dWsaNmzIxo0bH8n9JcOS65Clx0JYWBienp4MGTKEb7/99qHcMzg4mNmzZ7N7926aNGnC3Llz6du3b25g3hwcwfTthXMqZ94PJ+Hoj2TevY4mJR6FsSnGDm7YtOlXKItTXgv7eZa7GzMjI4Pg4ODcAHzs2DFSUlKwsLCgffv2+Pn50bFjR7y9vTEzM9OtQw4KQ5Pn/7W3vxmFJrHwciUA17HfYWRtz4MDa0kPP4868R4iKxMjK3vMa7bAtv0gVFWcdG25E0pKyH7SI0JQJ0SjNLfB1KUBVfyGFxuwK/L8hrR582ZGjBhB165d2bJlC5aWlggh8PDw4NatW+zevZsePXoUuu6dd95hx44d3Lx506CzsCti2rRpbNiwgaioqMemTVL5yYAsPTZWrlzJ2LFj+fPPP+nevftDu29gYCCzZ89m7969NG/enDlz5vBMh250W3qYDD3b5aX9E0ziyd8wdW2IkZU9IiuD1KsBZNy+iH2PCVi3KPzLHMBUpWTfpI6l6s5MTU0lKOj/7d13WNVlG8Dx7zkcNoIMQURxa4mrFDcu3Htr7kFmZqW9mWalZmVmrsrSXGC4Mvc8iIq4FbUU9xYXoqDsdc75vX8QJAJnwGH6fK7L63095zeeo8Z9nud3P/d9MiMAnzx5kqSkJGxtbWnRokVGAH777bcxMzPLcn5+Vp16unU2yQ+uYPVGC0ydK6GOe07suV1IKUmUHT4PszKVsj3PkM+fX3766ScmTpzIiBEjWL58eaYEv4YNG3Lu3Dni4uKwsrLKUoCkf6fWNGvUgBUrVhTa+F8VGBhIhw4duHjxIh4exm2RKhQ8EZCFIkOSJDp06MCVK1e4ePEipUuXLtD7Hz16lBkzZnDw4EGq+SxC7VQVDfrNOiSNmsd+E5FUqbiNXZrtMdoqNsXExHD8+PGMABwSEkJqaioODg4Zwbdly5bUq1cPExMTneM5f/48Hb7fiVXl+kh6fgZ9JT24grlrNWQm/wWz1KiHPFo5Aes3muPU/dNsz8uPilX6kiSJzz//nB9++IEpU6bw/fffZ5pRJiUl4ezsTJJZaQZ99Sv3UmyyZNFLkoSjuUSPBlUKNYv+ZQkJCdjb2/Pjjz/y0UcfFfZwhDwSAVkoUsLCwqhduzb9+vVj1apVhTKGtbsO8sUxwzvpRPz1NcnhN6jwofbnefsntcRBkcrRo0czAvC5c+fQaDS4uLjQqlWrjABcq1atbJ9t69KhQwfuPo1F1m16trP8/PDY92MAXEf9pPU4Y9V01ldqairvvvsuq1evZuHChUycODHLMUv9/2LG7qtYVn4bJA3Icv4zN7SJRX5r27YtNjY27Nixo1DHIeSd2PYkFCnu7u4sXLgQX19f9uzZUyhjuKFx0avlnyYlCXVCNKnPHxNzehuJt89iUbGe1nNkkoYuH8/BycmJnj178tdff/HGG2/w+++/c+3aNR4/fsyff/7J+PHjqV27dq6CcUBAAIGBgfw4cypfG6G7kD4kSUKd8AK5lfYv4iZyGWtO5n/Webr4+Hh69erFunXrWLduXbbBeENIGD9cNMMy/e9OSzCGwsmi18bb25tDhw4ZvJVPKL7EDFkoMJIk0aVLFy5cuMDFixext7fXfZIRtfoxiHt67B+OVC4m7h9l2m9kcqxqNMWh84eYWGhvB2mpiuPzOsm0bNmSSpUqGWHE/1Gr1dSvXx97e3uCg4ORyWT/ZYpLEuRT4k/cxSAid83HsfNH2NTroPXYio5WBH/aJl/G8bJnz57RrVs3Ll26xJYtW2jfvn2WY9L/bNKzwXPL2Fn0hjh16hRNmjTh+PHjOVZKE4oHfWNo4eT0C68lmUzG8uXLqV27NhMnTmT16tUFdm9D6kDbevbE6o0WqGMjSbh6FEnSgDpV53lJChv6DuybL1tlVq9ezcWLFzl16lRGgJnQpjo3Qv9ma5gChamZ3s/F9ZUaeZ+owCWYu72BdR1vncen18HOz61C9+7do2PHjjx//pxDhw7RoEGDLMd8t3onP/z8u17Z4vFXjhATso3UyAfIZHJMy1TEtnFfrKp5AjBv33XK2JgXShZ5gwYNsLW15cCBAyIgvybEDFkocH5+fowaNYodO3bQvXv3ArnnpUfRdP3laK7OfbLhKzTJcZQdvkDnbKv2g51YpzzPKOChz//qOkalUhEUFISDgwNvvfVWxuvJyckcOXIEx4o1se8wngRbd53PSfWljntO+JrJSBo1ZYfNQ1Eq+8YSr9r9YQs8ytnl+f7ZCQ0NzegoFRAQQLVqWQua3I9KoFbzDiTev6wzWzzmzE6e7/8dy6qeWFbzRFKlEhe6n9SIO5TpPQ2rms2Aws0i79WrFy9evODQoUMFfm/BeMQzZKHIGjFiBF27dmXs2LFERUUVyD1T8pAAZfVGc1Ie30AV9VDnsdGx8Tx//pwXL14QHR1NTEwMsbGxxMXFER8fT0JCAomJiSQlJZGcnExKSgoqlQqVSoVGo0Gj+W+ccrkcuVzO3bt3SUlJoU6dOpiZmWFhYYGFhQXXr19HJpPR8I1K1HpygNr3tuIcfRXzlJi0ZeyXGVDhS5MUz5ONM9AkxeM84Gu9gzFA4MFDnDlzhvDw8EyfJa8OHz6Ml5cXLi4uHD9+PNtgDDBtayi2jXrhNn4VDu3fo1S9jpRuPoiyQ35A0qiJObkp49jYszsxc61OmX7TKfVWF2w9e1J2yA/IzCyJC/2vSpZKIzFta9Z96wXB29ubEydOEB8fXyj3FwqWWLIWCpxMJmPZsmV4eHjw0UcfFUg1orzUgZZS01o9apJ1/1Bc+ttio84Qnzx5QrVq1Zg0aRLz5//XAGLHjh1s3bqVNWvWMGTIkCzn/bZsJZOmz+b4ydNYmClITFHT7/cTOu8nqVKI2DQL1fOHuAz6FjMnw5ZqP/vfJFIj7gCgUChwc3OjfPnyWX6lv+7q6opCof3H0JYtWxg8eDAtWrRgy5YtOc4wbjyJ5cjNZ5iWezPLe6YObpg5uZP67L/60JqUBEwd3DKtesjNrZCbWiAz/W8PuFojceTmM25GxBZoFjmk1bVOSUnh6NGjBbqHXygcIiALhaJcuXL8/PPPDB8+nL59+9K7d+98vV8lR2tkvFqtODN1/AtMrEtnek1Sq4i/eBCZwhxTHcFJ9u99jGnmzJkoFAq++OKLjNeio6N5//336dKlC4MHD872vJiop1inPKdBpbTZbXyySufnlzRqnm77geRHV3Hu+yXmblkDmzYy4PrZY0RFPObBgwdZfp07d44HDx6QmPjf1jO5XE7ZsmWzDdrly5cnODiY6dOnM2DAAFavXo25uXmO9197Kixj61KWz/ZvtvjLf4cW7nVIuHqMmDM7sarWCEmdQszZXWiSE7Bt2CPT+elZ5DMLKLs93RtvvIGrqyv79+8XAfk1IAKyUGiGDh3Kpk2bGDduHF5eXjg5OeXbvazNFbg7WGnNso5ULkZKScC8Qm1MSjmijntO/OVDqCIfYN92DHIzS633cHe0MmpC09WrV1m+fDlz587FwcEh4/XPPvuMmJgYli5dmuMz7cjISBwd/1tq1ufzPz+4ksSbp7Cs1gh1YhxxFzP3s7aprT2D2iw1hnOnT9C5c2fefvvtbI+RJInnz59nCtQPHz7M+P/79+/nwYMHxMTEZDrv4MGDNG3aNMfA7ebmRtC1iBwbhMRfOoQ6NpLSLf5bTXBo9x6ahBie7/+d5/t/B0BuaYvLO99m+TKi1kgEXY9gJgUbkGUyGe3atRONJl4TIiALhUYmk/H777/j4eHBhAkT2LBhQ77er01NZ/xP3cvxh7b1m17EXQgk9u89aBJjkZtZYla2GvatR2mtZQ1pM6g2NZyNOt4pU6bg7u7OBx98kPFaUFAQy5Yt49dff6VChQo5nvtqQAbdnz/lyW0AEm+eJvHm6SzvawvIMiR4dIm+fb/DxsaG7t27M2DAgIwkrIzjZDIcHBxwcHCgbt262V5LrVbj4+ODn58fo0ePpnnz5pmC9rFjx3j48CGRkZH/XdfMkgqTNmb7BSWnbHGZqTkKx/JYl3JKS+pKSSQmZDtPt8zGZegPmNqXy3Sdgsgiz463tzf+/v48e/YsX7+0CoVPZFkLhW79+vUMHjyYv/76i379+uXbffKzDjQYt1JVcHAwrVu3Zv369QwaNAhIK6dYt25dXF1dCQ4O1lpcpGfPnqhUKnbv3p3xWkF8fs2Lx/z1119s3LiRCxcuUKpUKXr06MGAAQPo2LGj1iVngMTERAYPHszOnTtZsWIFI0eO1HpseqAOufGYX29n/dmkLVv8ycYZyGRynPvP+O/4xFge/T4Wi0r1KdNrSpbr5WcWeU4ePHhAhQoV2LhxI/379y/QewvGIbKshWJj0KBB9O7dm/fff5+IiOy7FhlDdZdSeFVz0qtalyFM5DK8qjkZLRhrNBo+/fRTPD09M7U1nDlzJg8ePGDFihU6K329OkOWJInT+3egenARSaO7V7QhXv78NWrU4IsvvuD8+fNcvnyZTz/9lH/++YeePXvi7OzMiBEj2L17NykpKVmu8+LFCzp27EhAQADbt2/XGowBLC0tqVatGq1bt6Zdx6yNP7Rli6e+CCfp9lksX1n5MLEshXn5WiQ/vJztPfOSrZ9b5cuXp2bNmvnWV1woOkRAFgqdTCZjyZIlSJLE+PHj0WPRJtdm966DwsgBWSGXMbt3HaNd788//+TMmTPMmzcvYwn2zJkzzJ8/n5kzZ1KzZk2d13g5IIeFhdGtWzeGDh2KJzewMFUYtA1Kl5w+/5tvvsn06dO5ePEiFy9eZNKkSZw+fZpu3brh4uLCqFGj2Lt3LykpKTx8+BAvLy8uXbrEwYMH6dq1q0FjeDWL/uVscef+07Nki2vin/97YNYAK2lUOX5pyUu2fl6I58ivBxGQhSLBxcWF3377jc2bN7Nx48Z8u08FByuj14Ge1cPDaEUjkpKS+Pzzz+nZsyctW7YE0poojBkzhrp16/K///1Pr+tERkZib2/Pr7/+ioeHB+fPn0/bKuW/gprxoUYttanP5/fw8GDmzJlcvnyZ0NBQPvzwQ44fP06XLl1wdnamZs2ahIeHExQURJMmTQwew8vZ7S9ni5fpNTXbbHGFfTmQyYm/ciTTF0BVzDOSH1zGzKVqlnPyI4teX+3atePWrVvcvXu3UO4vFAwRkIUiY8CAAfTv358PPviAJ0+e5Nt9Bnm682mHGnm6RvoP8Une1YxaVnHx4sU8ePCAH374IeO1uXPncunSJVauXJmpz6+2sUVGRvLHH38wYcIEhg4dyqVLl+jevTvvv/8+OxdNRXVuq1HGO7lDTYM+v0wmo3bt2syaNYurV6/i7+9PcnIyqampPHv2jDZt2vDuu+8SGBhoUFMFa3MFlqo44KVs8SoNMrLFX/4FYGJlh03ddiSHhfJk/RfEnN1J9ImNhPt/ipSajF2TrM9qjZ1Fb4jWrVsjl8vFLLmEEwFZKFJ+/fVX5HI577//fr4uXU9oU505fepgrpAb/ExZUqswQcOLfb9yzn+20cYZFRXFd999x3vvvZexLH3lyhVmzZrF5MmTc9xK9LLU1FS++uorNBoNCQkJBAcHs2TJEmxtbRk7dixLly7Fzc2N0A0/5vrzm8hlmCvk/NCnDh+0yb5ilj727NnD2LFj8fT05PHjx5w7d46xY8dy8OBBOnTogKurK+PGjePgwYM6g3N8fDxRl44gQ8qULR65a36WX+kcOn6Affv30CTF8SL4D6JP/IXCvhwug77Fwr12ls9s7Cx6Q5QuXZqGDRuK58glnMiyFoqczZs3069fP9auXZtj4QtjuR+VwLStoRy5+SzHohLp0t+3Tw7n7sbvmTXlYz766CO+/PJLvvnmmzyP5ZNPPmHFihXcvHkTZ2dnNBoNXl5ePH36lPPnz2NpqX0f9JkzZxgzZgyXLl1CrVazd+9eOnXqhCRJjBkzBl9fXypUqMCFCxcoXbp0xuefsvkfjt9+jgwJSUuDCmP2C/bz88PHx4fu3buzbt26TJ9NkiTOnTvHxo0b2bhxI3fv3sXZ2Zm+ffsyYMAAvLy8MDExyXQ9f39/xkz6gnLvLsn1mHQp6H7Pr5o2bRorVqwgPDw8V+07hcIjsqyFYqtv374MGjSICRMm8Pjx43y9VwUHK/zHNCZwYkuGNa5IRUerLCFJRlprwWGNK7J/UkuCpvfFmiR27tzJ999/z7fffsvy5cvzNI5bt26xePFipkyZgrNz2kzst99+4/jx46xYsUJrME5ISODTTz+lcePGKBQKVq1aBYCrqyuSJDFixAh8fX2pVKkSFy9ezAjG6Z+/m/VdHi1/n5617PX6/P5jGuc6GEuSxJw5cxg1ahRjxoxh06ZNWT6bTCajQYMG/PDDD9y+fZvTp08zbNgwdu3aRZs2bXBzc2PChAkcPnwYtTot+crX15fmdaoWiyz63GrXrh1Pnz7l4sWLhToOIf+IGbJQJEVGRuLh4UGjRo3Yvn17nnraGio+WUXbngMpV96db2fNpJKjdZZnhwEBAXTq1ImlS5dy/vx5li1bxs6dO+ncuXOu7jlw4ECOHTvG9evXsbKy4t69e3h4eDB8+HB+++23HM87cOAAY8eO5dGjR3z99dd88skn7Nu3j65duxIWFsaUKVNYv349VapU4fz589jYZO3p3K5dO1JTUwkODs74/Hcj40lRaTBTyLP9/Lmh0WiYNGkSP//8MzNmzGDGjBkG/b1KksSpU6fYuHEjf/31Fw8ePMDV1ZUOHTqwevVqfH198e4xgHYLg0k24vakwuz29LKkpCTs7e2ZPXs2kyZNKtSxCIYRM2ShWHN0dOT3339n586dBdJ84mXW5gps1TGYxz3Go5xdtsGoY8eOvPvuu3z66af873//o2vXrvTv35+zZ88afL+TJ0+yceNGvv32W6ysrJAkiffeew97e3vmzJmT7TnPnz9nzJgxtGvXDnd3dy5cuMBnn32GQqHIqGA1ceJE1q9fT/Xq1blw4UK2wfju3bscPHiQ0aNHZ/r8HuXseMvdPsfPb6jk5GQGDx7M4sWLWbJkCTNnzjT4S5ZMJqNJkyYsWLCAe/fucezYMQYMGMCWLVuAtCXdBd98wXAPCx1XMowxs+jzwsLCghYtWojnyCWYCMhCkdWzZ0+GDh3KRx99xMOHulsfGpO5uTlJSUlaj5k3bx4ODg6MHTuWtWvX4uHhQdeuXQ3amiJJEp9++il169Zl2LBhQNrz0ICAAJYuXZrtt+ktW7ZQq1YtNm3axLJlyzhw4ADVq1fPeP/Zs2eYmJiwZcsW3njjDc6fP4+1dfbbdVavXo21tXW+VkiLiYmha9eubNu2jb/++otx48bl+ZpyuZxmzZqxYMECnJyc6Nq1K/369WPDhg18+U5bNP9sN8LIDc8iz2/e3t4EBweTmppa2EMR8oEIyEKR9tNPP2FhYcHYsWPzNev6VRYWFjoDsq2tLStXruTgwYP88ccf7Ny5E2trazp37pzR5zk+WcWlR9H8HfacS4+iiU/OnC28bds2jh07xo8//oiJiQlPnjxh0qRJDB48OEtxjMePH9O3b1/69u1L48aNuXz5Mu+++26mBB9JkliyZAlqtZratWvz999/5/j8WaPR4Ofnx8CBA3MM2Hn15MkTWrduzZkzZwgICKBPnz5Gvf7hw4e5c+cOU6ZM4eeff+bBgwcEBwfTvYopKUd90aQmg4GVyYyVRZ4f2rVrR3x8PKdOnSrsoQj5QDxDFoq8nTt30qNHD1atWsWoUaMK5J5Dhw7l4cOHBAUF6Tx2/PjxrF69mtDQUNRqNc0698WleV8cPLy4/zwxU8tDGeDuYEWbms4MaFCOXm0aU6VKFZRKJZD2LPngwYNcvnyZMmXKAGlBdtWqVXz66aeYmZmxePFi+vXrl2XJV6PR0L17d/bs2YOFhQUvXrzQWjv64MGDeHt7c/ToUZo3b27wn5EuN2/epGPHjiQmJhIQEECdOsarZpZu5MiRHD16lBs3bmT581Cr1WxWHuKHoDAiTZ2RNGpkcpMcrmTcLPL8olarcXJyYuLEicyYMUP3CUKRoG8MFQFZKBZGjhzJ1q1buXTpEuXLl8/3+40ZM4bLly9z4sQJncfGxcVRp04dXKvXocrAaRy9Gan3D//EO3/j/1EXOjR7m+3bt9OrV69M271u3bqVsTd35MiRzJ8/P1MrxnQajYbOnTuzb98+SpcuTf369XV+mRg6dCghISFcvXrV6ElzZ8+epUuXLtjb2xMQEEDFihWNen2A2NhYypYty+eff86XX36p9dgrj14wb9tJTtyNJl5uneXzVnS0ok0NZ4Y2cS/0bGpd+vbtS0REBEeOHCnsoQh6EkldQomyaNEibGxs8PHxKZCla32WrNPZ2Ngw8ptlPKg7kmM3nwFoDcZAxn5ny0r1+HDvE1YFX2X8+PF07dqVd955B5VKxfz586lTpw63b98mICAAX1/fHINxhw4d2LdvH56enrz99tsZs+ucREdHs3nzZkaPHm30YBwYGEjr1q2pXLkyR48ezZdgDLBp0yYSExMZPny4zmPfLFealeM7cXnuQM5/6c1XngoavQgmfvOXhM3vx+Nl76E6vZ6E8DsF+mgkN7y9vTl58iRxcXGFPRTByERAFoqF0qVLs2LFCgICAli5cmW+38/CwoLk5GS9jl0cdAPfSynIFWZaC2tkSyYnWaVhlvIWqTW8WbJkCaGhoTRt2pTJkyfz3nvvERoaSocOHbI9Xa1W07ZtWw4cOEDTpk05fvw4UVFRWXohv2rDhg2kpKRkJJIZy4YNG+jatSteXl4cOHAgX/v3+vr64u3tjbu7YUlXpW0sGdOnIxuXzOXRpdPs2bGVFi1a8Ouvv1KvXj1q1arFjBkzuHTpUj6NPG/atWuHSqXi8OH8a6UpFI7CKcwqCLnQuXNnRo8ezSeffEL79u3zbeYF+mVZA2wICWPevutpv3lppvls10LiL+Zcd9jtAz8UpTIHK6smA5m8ZCubf/wfNWvW5MSJEzRu3DiHK6QF49atW3P06FFatGjBoUOHMDExITIyUmcg9PX1pXPnzpQrV07nZ9TXokWLmDRpEiNGjGD58uV61d3OrZs3b3LkyJE8b4kzNTWlU6dOGXvK9+/fz8aNG/npp5+YNWsWtWrVYsCAAQwYMIA338zapKIwVK9enfLly7N//366dOlS2MMRjEjMkIViZcGCBdjZ2eX70rU+S9b3oxKYsSP7WVSptzrh2O1/r/z6BJmpOaZO7lmCMQCSxImU8kz84hvOnTunMxh7eXlx9OhRWrdunRGMIW3bk7YZ8qVLlzh16pTREuQkSWLq1KlMmjSJKVOm4Ovrm6/BGNK2a9na2tK7d2+jXdPMzIwuXbrg5+fHkydP2LlzJw0aNGD+/PnUqlWLOnXq8M0333Dt2jWj3TM3ZDKZaMdYQomALBQrdnZ2rFy5kv3797Ns2bJ8u48+S9bTtoaiyqH2tbnbm9jUbpPpl8LOBSk1GetarbO/oEyGiZk54RXaYGZmluN9VSoVTZs25cSJExk/mNODcWJiIomJiVoDsq+vL05OTnTv3l3r59NHamoqI0eO5IcffmDhwoXMmTMn36uqaTQaVq9ezcCBA7Gyyp9MaHNzc7p168Yff/xBREQE27dvp169esydO5c33niDevXq8d1333Hjxo18ub8u3t7eXLhwgYiICJ1b64TiQyxZC8VOhw4dGDt2LP/73//o0KEDlStXNvo9dC1Z33gSy5F/E7j0FX85GJBhXatVjsdoJDhy8xk3I2KzzfZVqVQ0btyYc+fO0alTJ/bs2ZMpAKZX6copIKempuLv78/QoUO1Bn29Pk98PP3792f//v2sW7eOd955J0/X09fBgwe5f/9+gW2Bs7CwoEePHvTo0YPExESUSiUbN27k+++/58svv+Stt97KaB1atWrWPsr5oUr9Zti3G0unX0/xPEWe49a6IY3dqe5StLPGhf+IGbJQLP344484OjoyZswYNBrj1S1Op2vJeu2pMIOaGEhqFQlXj2Je/k0UpV20Hmsil7HmZFiW11NTU2nYsCHnzp2jW7duWYIx6A7Ie/bsISIiIs/B7NmzZ3h7e3PkyBF2795dYMEY0jpF1axZkyZNmhTYPdNZWlrSu3dv1q9fT0REBJs2baJ69ep88803VKtWjYYNGzJ37lzu3LmTL/e/H5XAsJWnGLz2CrZvdyXqlWAMIAH3ohLwP3WP9osOM2zlKe5HJeTLeATjEgFZKJbSq2QFBQWxZInxW+5ZWFig0Why7MMbdC1Ca6vGVyXeOYcmMSbn5eqXqDUSQdcjMr2WkpLC22+/zfnz5+nduzc7duzIdmlYV0D29fWlQYMG1K1bV++xv+revXu0aNGCO3fucOjQIdq3b5/raxkqOjqaLVu2MHLkyAJtOJIdKysr+vbty59//klERAQbN26kcuXKzJw5kypVqtCoUSPmzZvHvXv3jHK/DSFhtFsYzPHbaX/H6Lm17vjtSNotDGZDSNYveULRIgKyUGy1a9eO999/n88++4zbt28b9drpFa6ymyXHJasIM3DGEX85GOQKrN5sodfxYZEJGc8CU1JSqF+/PhcvXqR///5s3rw5x2CkLSCHh4eza9euPM2OL1y4QNOmTUlNTeXYsWM0aNAg19fKjY0bN5KcnGz07Vp5ZW1tTf/+/fnrr7+IiIhgw4YNVKhQga+++opKlSplNMW4f/9+rq6/OOgGU7eEkqzSGPRFENICc7JKw9QtoSwOKpxn3oJ+REAWirW5c+fi7OzMqFGjjLp0bWGR1jEou4B8LzI+yzKhNpqURBJvnMSy8luYWOpX6U4C7kbGk5ycTJ06dbhy5QqDBw/mzz//1DozjIyMRC6XY2dnl+W9NWvWoFAocr28HBwcTMuWLSlbtizHjx+nWrWCr/Ps5+dHhw4dcHNzK/B768vGxoaBAweyefNmIiIiWLt2bUZFMXd3d5o3b85PP/2kd8OUTFvrXpIcfpMnf04nbEF/whb058mGr0h5ov2L6bx91/lTzJSLLBGQhWLNxsYGX19fDh8+zOLFi4123fSAnF2mdYqBvXYTrp9My672aG3QebHxidSuXZvr168zfPhw1q5dq3OZNjIyEgcHh0wNJyBta5Kvry+9e/fOttqXLlu2bKFjx440bNiQQ4cO4eKi/Tl4frh27RrHjx9n5MiRBX7v3CpVqhSDBw9m27ZtRERE4O/vj6OjI5MnT6Z8+fJ4eXnxyy+/8OjRo2zPz2lrXXL4TZ6s+QzVi3BKN38Hu+aDSH3+iPB1U0mNfKB1TNN3XBLPlIsoEZCFYq9169ZMmDCBqVOnGm0birYlazOFYf/ZxF8+hMzMEsvqOe8rzs7gQQO4efMmY8aMYfXq1XqdExkZme1y9enTp7l8+XKulquXLl1K//796dWrF7t37y60evarV6+mdOnS9OzZs1Dun1d2dnYMHTqUHTt2EBERkbGX+pNPPqF8+fK0atWKX3/9lfDw8IxzctpaF31kDTKFGWWHz8O2cR/sGvel7LAfQZJ4EfyH1nGoNBLTtoYa/fMJeScCslAizJkzB1dXV0aNGoVabVi7vexoW7Ku5Gitd4FMdUI0SXf/wap6E+SmFvoPQJK4GxrCuHHjWLFihd6n5VSly9fXlwoVKuDt7W3AECRmzpzJ+++/z4QJE1i3bp3W7lH5Sa1W88cff/DOO+9k/N0UZ6VLl2b48OHs3r2biIgIVq5ciZWVFRMnTqRcuXK0adOGb35ezpGbz7J9Zpx0/xIWlepnegSisHHAokJtEm6dRpOSmOO91RopY2udULSIgCyUCNbW1vj5+XH8+HF+/vnnPF9P25K1tbkCdz1b88VfOQwatcHL1anPH/PBez4GZ5BnV6UrISGB9evXM2LEiIwCIrqo1WrGjRvH119/zffff8+iRYuyLIMXpP379/Pw4cMC23tckOzt7Rk1ahR79+4lPDyc5cuXY2ZmxqJd55By6OUsqVORKbLuI5eZmoNaRepT7ZndOW2tEwqXCMhCieHl5cXHH3/MtGnT8lzeUNuSNUCbms567UOOv3QIuVVpLCrV1/vekkbNG7ZqfvnlF73PSZfdkvWWLVuIiYnR+9lrYmIi/fr1Y+XKlfj6+jJ16tRC32Lk6+tLrVq1aNiwYaGOI7+l760PCAjgzbZ9c+waZupQnuRH1zIFbEmdSvKjtH/3qthIrffJbmudUPhEQBZKlO+++44KFSowcuTIPC1da5shAwxp7K7X9hPX4fOp8NEane0YXyaTm7B40kC9j39ZdgHZ19eX1q1b61VF6vnz53Ts2JGAgAC2b99eJBKonj9/zrZt24rE3uOCEpes4mF0zqVbS73dBVXUQyL3/EzKszBSnt7l2a4FqOOeAyCpUnTe4+WtdULRIAKyUKJYWVnh6+vLqVOnWLBgQa6vo2uGXN2lFF7VnAyq1qUXSUPS3b+ZP31yrppnvBqQ79y5w8GDB/Va6n348CEtW7bk0qVLHDx4kK5duxp8//ywYcMGVCoVQ4cOLeyhFBhdW+tKvdUF26YDiL8czOMV43m8cgKq5+HYNukLgNxM93P29K11QtEhArJQ4jRv3pxPPvmEr776iitXruTqGtqSutLN7l0HhTEDsiRhbqrgc+9KrFy5km+//dag09VqNS9evMgUkP38/ChVqhR9+/bVeu6VK1do2rQpMTExHD16tFDKUubEz8+PTp064erqWthDKTD6bK2zbzWc8h+twWXID7iOXozryIUgpZ2ncNBvn7ahW/iE/CUCslAiffPNN1SqVImRI0fmWP5SG11L1gAVHKz4uodHrseYhUyG/a1ARg3owTfffMP06dP13u4EaUu7kiRlBGSNRoOfnx8DBw7E2to6x/NOnDhBixYtsLOz4/jx40Wm7y/A5cuXOX36dIlM5tJG3611JhY2WFTwwMy5EgBJd//BpJQTpo7ljXofoWCIvw2hRLK0tMTPz48zZ84wb948g8/XtWSdbpCnO592qJGrMf4nbXGyT1UFV3avxMvLixEjRuDj44OPjw+BgYE6rxCfrOL09UeYudYgzrQ08ckqDh48SFhYGKNHj87xvN27d+Pt7Y2HhweHDx8uchWw/Pz8cHBwoFu3boU9lAJlyNa6dPFXDpPy+Aa2DXsgk+n+0S779z5C0SHaLwolVpMmTfj000+ZMWMG3bp1o3bt2nqfq1AoMDEx0RmQASa0qY6TjTlfbj1PqkqDzET//6xkSJgpTJjVw4OBnu6MbnKMrl270rRpU3bs2MHDhw/p27cvR44coV69epnOvfEklrWnwgi6FkFYVAIS4DpiAdOPJzLjeADmqbFU6T8Fx8rZz+J9fX1599136d69O+vWrcPS0lLvcRcElUqFv78/Q4YMKbT9z4UlfWvdvRwqaiWFXST62HosKr+F3NKWlEdXibuwH4sqDSjlqV/hFHdHK6zNRQgoSsQMWSjRvv76a6pWrcrIkSNJTU016FwLCwutS9Yv613XhWerJ5J8P60CUk77R9Olv9+iWhn2T2rFQE93AGrXrs3JkydxcXGhdevWvPfee1SvXp0uXbpkNCZIb8HXftFh/E/d496/wTjT9YEk01Joqragw09HMrXgkySJOXPmMHr0aMaMGcOmTZuKXDAGCAgIIDw8vEhkehcGbVvrTEo5glxOzKktRO1bQtKDy5RuOQznvl/qldFvIpfRpoazsYcs5JEIyEKJZmFhwerVq/nnn3+YO3euQeeam5vrNUOGtO1W0Y9u01q6yOOVH1DX4gUVHa2yLDtKkkRq1CMa2iawf1JL/Mc0psIrRUZcXV0JDg7Gy8uLvn37MnToUExNTencuTOrgq9masGna+uV9O8I0lvwrT91j4kTJ/L5558zY8YMli5dqnexkILm5+dH3bp1eeuttwp7KIVC29Y6U3tXXAZ+Q4WP11Fx8lbc3l2KXdP+yExM9bq2WiMxtIm7MYcrGIFYrxBKPE9PT6ZMmcLXX39N9+7d9e4FbGFhoVdAjo2NZe7cuVhZWREaGkrtCo5s/WowCoWC+GQVdyPjuf/wMYMG9CPm4S2WLv6JsWMHab2mjY0N27dv58MPP+STTz7hvffeY9uNRGYpb+k19lepNRJqjcTn2y7y4swTlixZwrhx43J1rYIQGRnJjh07mDNnzmuz9/hV6Vvrjt+ONLjlojYmchnNqjhSzbmU0a4pGIcIyMJrYfr06ezYsYMRI0Zw+vRpTE11zyT0XbKeOHEiycnJdOrUicDAQM6cOYNCkfaflrW5AqvkKPq1aUh8fDyrVq3SO2NYoVDw22+/UblyZb5ZewDHLh9lOUaTkkjMqS0kP7pGyuPraJLicOwyEZu67XK8bumWw7BvUEevMRSW9evXo9FoGDJkSGEPpVDN7l2HdguDjRqQFXIZs3sX7b//15VYshZeC+bm5vj5+REaGsrs2bP1PkfXDDk8PBw/Pz/s7e3Zv38/n332GfXr1894//bt29SuXZuEhAT++OMPg7fvyGQy3vGZgEvXD7MtFKJJiCH62HpSI+9j6lxZ7+sW9RZ8vr6+dO3aFWfn1/s5p9G31gGzenhkeUwiFA0iIAuvjQYNGjBt2jS+/fZb/vnnH53H67NkPXr0aDQaDU5OTlSpUoXp06dnvHf9+nVq165NYmIia9euZdiwYbka97StoUgyebZLtyY2DpSf4E/58b7Yt8l5e9OrinILvgsXLnDu3LnXbu9xToyztS7N5A41MxIIhaJHBGThtfLll19Sq1YtRowYQUqK9nq/upasr169yt69eylTpgw3btxg5cqVGQVFrl69Sr169UhKSmLjxo288847uRrvjSexObbgA5ApTDGxsTf4ukW5BZ+fnx9lypShS5cuhT2UImNCm+rM6VMHc4Xc4HKtJnIZ5go5P/SpwwdtquXTCAVjEAFZeK2YmZmxevVqLl++rLM0pa4l6/TayrGxsYwfP54WLVoAcOnSJerXr09KSgpbtmyhX79+uR7v2lNhxq+X/a+i2IIvNTWVNWvWZGSWC/8Z5OnO/kmtaFYlrRKbrn8X6e83q+KYaWudUHSJpC7htVO/fn2++uorZs2aRc+ePWnQoEG2x2lbsj58+DBnz57Fzs4OW1tbvv/+eyBtudXT0xOVSsW2bdvo3r17nsYadC3CqAk9L0tvwTcT4z6jzIs9e/bw9OnT13bvsS4VHKzwH9P4v6Iw1yMIi8y8D11GWtGPNjWcGdrEXWRTFyMiIAuvpc8//5xt27YxYsQIzp49m6USVHyyCo1dOZ6rJS49iqaSo3WmqkbprQCjo6NZt24dtra2/P333zRp0gSVSsWuXbvo3LlznsYYl6wiLJ8Tr9Jb8BWVik1+fn689dZbem9Ne11VdynFzB4ezMQjY2tdikqDmUKe5d+qUHyIvzXhtWRqaoqfnx8NGzZk1qxZfPfdd1lLUVbuA0DXX46mzTocrGhT0xn7qEvcuXMHU1NTBg4cSJcuXQgJCaF58+ZoNBqUSiXt27fP8xh1teAzhvQWfB7l7PL5TrpFRESwa9euPLXNfB1ZmyuKxN+fkHciIAuvrbp16zJjxgy+nv8roU6tuBCRiolclu0SsQTci0rA/9Q91BprnAd+g/qkPwsXLuTkyZN4eXkhSRKBgYG0adPGKOMrqNZ4RaUF37p169K2eeUyAU4QijsRkIXXWiXvIZSL9uBCeBLITXQ+r01/38K9DqZV5rM08AJfD+8IQFBQEF5eXkYbW0G1xisKLfgkScLX15cePXrg5ORU2MMRhEJR+P8lCkIhWRx0gy+2XwITU9CjIP/LZCYKVJKMFRcSsWncL6P2tDFoNBouXrzIvs1rIZtiIMZUVFrw/fPPP1y4cEEkcwmvNTFDFl5LG0LCmLfverbvSapUXhxZQ/ylIDRJcZiWqUTplsOwrJx9kwM7r6HcN9WvIXx2NBoNFy5cIDg4mODgYA4fPkxkZCSmpqZUGL8KtaX2fcYxZ3eiSYpHHRcFQOLN06hinwFg26A7coucA25RacHn5+eHi4sLnTp1KuyhCEKhKfz/EgWhgN2PSmDGjks5vv9s90ISrh3DtmFPFA7liA/dT8RfM3F5ZzYWFbLfIjR9xyWaVXXSqyShWq3mn3/+ITg4mEOHDnHkyBFevHiBmZkZTZo0Yfz48bRq1YqmTZsyd/+df59b5zxTjjm1FXVMRMbvE64fh+vHAbDxaJNjQC4qLfhSUlJYu3Yto0aNyqgBLgivI/GvX3jtTNsaiiqHAJf86BoJVw5Tus1o7BqnZVnb1G7LoxUf8OKQL2WHzcv2vPRSlP5jGmd5LzU1lXPnzmXMgI8ePUpMTAwWFhY0bdqUSZMm0apVKxo3bpxR6SvdkMbu+J24q/XzlB+/So9PnVVRacG3a9cuIiMjxXK18NoTAVl4raSXosxJwrVjIJNTqv5/S6cyhRk29drzIvgPVDFPUdiWyXLey6Uo3Uubc+bMGQ4dOkRwcDDHjh0jPj4eKysrmjdvzmeffUarVq3w9PTMsv/5Va9DCz5fX188PT3x8Cg6BUoEoTCIgFxMiM3/xpFeijKn4Jby5DamDm7IzTMvPZu51sh4P7uADCBDou/Un7ixYTaJiYnY2NjQokULvvzyS1q3bk2DBg1yVQ6yJLfgCw8PZ+/evfzyyy+FPRRBKHTiJ3oRlqVQxUvvvVyoYkhjd6q7FP5MpzjQVYpSHReVbbMGExuHjPdzIiEjsXQVZs2aRatWrXjrrbeM8kw0vQXf1C3G685UVFrwrVmzBoVCwaBBgwp7KIJQ6ERALoLuRyUwbWsoR24+06tQhd+Ju3hVc2J27zpF4odsUaVPKUpJlZK2DeoVMoXZf+9rkWpux/sfDjD66sUgT3eexSXnmBluiNija7FpMQQo3OfHkiTh5+dHr169sLc3vGOVIJQ0Yh9yEbMhJIx2C4M5fjsSQO9CFcdvR9JuYTAbQopW956iRJ9SlDKFGahTs7yeHojTA3NO0ktR5gdjtOD7tsebtHRKpFevXvz111/5Mk59nTlzhkuXLolkLkH4l5ghFyGLg27kegak1kioNRJTt4TyLC6ZCW2qG3l0xUtCQgLh4eGZfl14FAvU1nqeiY0D6tjILK+nL1WnL11rk5+lKAd5utO8qlPGCoqkUSPTUtQkfYWlWRXHjBWUgRs3MnLkSAYNGkR8fHyhBUQ/Pz/KlStnlLrfglASiIBcRGgrVAGQHH6T6KPrSH5wGUmViqK0Czb1O2HbsEeWY+ftu04ZG/MS1/9UrVbz9OnTTEH28ePHWQJveHg4MTExmc5VKBSUfbMhJl21B2Qz5yrE3LuAJjkhU2JXyqO0vxszlyo6x5nfpSjTW/C999lMdl+LoWqLbtyNTEAm+2/WrK0Fn6mpKX/88Qc2NjaMGjWK+Ph4Pvjgg3wd86uSkpJYt24d48aNw8TEsCppglBSiYBcBOgqVJF45xwRm2Zh5lIVu2aDkJlZoHoRjjo25+07hhSqKEySJBEbG5sloGYXaCMiItBoMs8+HRwcKFu2LK6urlSoUAFPT0/Kli2b8cvV1ZWyZctib29PYqqG2jMDtC5bW73RnJjTW4j9R5mxD1lSpRIXGohZuZo5Zli/rGIB/ZmfUG6hfYMGzB1ZBxc3d35etZ7mLVvplYVvYmLC0qVLsbGxYcKECcTGxjJ16tQCGTfAjh07ePHihViuFoSXiIBcBGgrVKFJTuDZrgVYVvWkTO/Pkcn0m31pK1RREFJTU3ny5Iles9mEhMyJVhYWFpmCadOmTbMNss7Ozjr38b7M2lyOu4MV97QkdpmXq4nVGy14EbwaTcILFPbliA89gCo6ApfOH+v+3FGPqF/7Tbp160a3bt1o2bIlZmbanzvnxsOHDwkNDWXatGlERkYipSZR192Bt9z1T46SyWTMmzePUqVK8fnnnxMXF8c333yTaaadX3x9fWnatCk1a9bM93sJQnEhAnIh01WoIv7yITTxL7BvORyZTI4mJQmZqZnOwPxyoQpjFX+QJInnz5/rFWSfPcv8mWQyGWXKlMkIqNWrV8fLyytLkC1btiy2trb5EhTu37+P6bPrSLhqfe7q1O0TXhxeQ/zFINRJcZg5V8K533Qs3HU8f5ZBK49yWMnbs2XLFn766SdKlSpFhw4d6NatG126dMHZ2TilKvft24dMJqN9+/ZcvXoVAEdHR4OvI5PJmDlzJjY2NkyePJnY2FgWLlyIXJ5/y+4PHz5k3759LFmyJN/uIQjFkQjIhUxXoYqku/8gM7dCFRdJxJZvUUU9RGZqgXXtNjh4v6s169dELmPNyTBm9tBeASkpKUmvIBseHk5KSuZtPzY2NpkC6ptvvpltkC1Tpkyh1Sk+deoUCxcuZNOmTdhWqIntoLlaj5cpzLBvOxr7tqMNuo9agq8GtaSac1ckSSI0NJRdu3axa9cuRo9Ou1ajRo0yZs/16tXL9RcPpVJJo0aNcHR0JDIyLQktNwE53aeffoqNjQ3jx48nLi6OZcuW5duz3TVr1mBmZsbAgQPz5fqCUFyJgFzIdBWqSI16BBo1Tzd/g03dDli0GkFSWCix/3b4KdPzsxzPVWskAkIf0MziYY6B9vHjx0RHR2c6z8TEBBcXl4yAWqdOHdq3b58l0Lq4uGBjY2O0PwtjUqlUbNu2jQULFnDixAmqVq3KwoULGTlyJOM3XubYzWcYMxf61VKUMpmMunXrUrduXaZNm0ZERAR79+5l165dzJ07l6+++ory5cvTtWtXunXrRtu2bbGy0u/Zs1qtJjAwkI8++gggIyA7OOjOANdm3LhxWFtbM3LkSOLj4/H3989VZTFt0vse9+nTBzs7O6NeWxCKOxGQC5FehSpSk5BSk7F5qzMO7d8DwKpmMyR1KnH/KEn1GoKpg1uO5z+KTaVTt/5IqUmULl06I5i6urry1ltvZTubdXR0zNcly/wUHR3NypUr+fnnn7l37x6tWrVi27ZtdOvWDRMTEzQaDS5hB1Gl1kSuMAMjLY3rKkXp7OzMiBEjGDFiBCkpKRw5coRdu3axc+dOfv/9dywsLPD29qZbt2507dqVChUq5HitkJAQnj9/TseOHYG0gFyqVCmjPKseNmwY1tbWDBo0iISEBDZu3Jil4UVenDp1imvXrrF48WKjXVMQSgoRkAuR3oUqAOs3W2V63bpWa+L+UZL88KrWgCyTydh34m9aeFQy6g/Woub27dv8/PPPrFq1isTERAYNGsSWLVt4++23M46JjIxk6NChBAQEMPirxRxNqWi0+xtSitLMzAxvb2+8vb1ZsGAB169fz1janjBhAu+//z716tXLWNr29PTMtHysVCqxt7fH09Mz43PlZbn6VX369GHHjh307t2bbt26sW3bNqOthPj6+lKhQgXatGljlOsJQklSPKdBJYQ+BSRMbNJ+0JpYl878unXacp8mKU7nNRzLuJTIYCxJEkeOHKFPnz5Ur14df39/PvzwQ+7du4e/v3+mYBwSEsLbb79NSEgIAQEB/DiuN5zfYZRxTO5QM9d7vmUyGTVr1uR///sfQUFBPHv2jA0bNlCnTh2WLFlC06ZNcXV1ZeTIkWzatImYmBiUSiXt27fPeCZv7IAM0KlTJ5RKJadOnaJjx468ePEiz9dMTExkw4YNjBgxQuw9FoRsiIBciPQpIGFWtioAqleqR6li/60cZaX7OVx+F6ooaKmpqaxbt45GjRrRsmVLrly5wm+//cb9+/f57rvvKFeuXMaxkiSxdOlSWrRoQdmyZTl37hxNmjShS5cupJ7fxWet3fJUivKHPnX4oE01o3220qVLM3DgQPz9/YmIiODo0aOMGTOGs2fP0r9/fxwdHTl16hRyuZybN28C+ROQAVq1asWBAwe4cuUKbdu2zZI5r018sopLj6L5O+w5lx5FE5+sYuvWrcTExDBixAijj1UQSgKxZF2IKjlaIwOty9bWb3gRc3ITcRf2YVmpXsbrcRf2gdwEc3ftLfRk/96nJIiKimLZsmUsXryYhw8f0r59e/bs2UPHjh2zfeadkJDAuHHj8Pf354MPPmD+/PnI5XK6devG7du3OXLkCHXr1qW7Z42MUpQySYOkbUuZRg1yk0ylKPOLiYkJzZs3p3nz5nz//ffcvXuXWbNm4evry+bNm9mwYQM1a9YkPj6eGjVqkJqaavQkrEaNGnHo0CHat29Pq1atCAwMzPSF52W6upMpkiQ8hs9EKuVi1DEKQkkhAnIhsjZX6CxUYVa2KtZ12xN/IZCnGg0W7rVJCgsl4epRbJv2R1FK+8zI3dGq2PdNvn79OosWLWL16tWo1WqGDBnCxIkTqVMn5y8j169fp2/fvty+fZu1a9cyePBgJEli1KhRBAUFoVQqqVu3LvBfKcrr4TF0+OAbrKp5kii3ztru0tEK27j7BC2bxc+XQrC3L9gqaJUqVUKSJOrUqcPx48c5cOAAu3btws/PjwcPHlCmTBk6depEt27d6Ny5s9FmzXXr1uXIkSN4e3vj5eXFgQMHqFSpUsb7+nYnS7UojapcA9ovOiy6kwlCNmSSJOnseh4TE4OdnR3R0dHY2toWxLheG1P+PMPGvx9rnZVJahXRJzYSd2E/6rgoFHZlKPV2N2w9e2q9tolcxrDGFXXuQy6KJEkiKCiIBQsWsHv3bpydnRk/fjzvv/++zuIaW7ZsYeTIkbi6urJlyxY8PNI+//Tp0/nmm29Ys2YNQ4YMyXLe9evXqVmzJjt37qRN+07cjYxn6bIVbNq4gZt/n8DaXEF4eDgVKlRg4cKFTJgwIV8+e04kScLNzY0hQ4bw448/Zrzu5uZG165dcXNzY9euXZw5cwa5XE7Tpk0zEsM8PDzyXGzl7t27tGvXjuTkZPbv30/NmjXZEBLGjB2XUP3b3ERfJnIZCrmMr3t4MKiE1VwXhFfpG0NL1sPFYiQ6Oprp06fz++Sh2pdIAZmJgtItBlN+/CoqfrYNt/eW6wzGkLYPeWiT4vXDLjk5GT8/P+rXr4+3tzdhYWGsWrWKe/fuMWPGDK3BWKVSMXnyZPr27UvHjh0JCQnJCMbLly/nm2++4fvvv882GENa9rKZmRmtW7fG2lyBRzk7ajia8eLOxYxVhrJly9K9e3eWL1+OHt9ljSo0NJTHjx/TqVOnjNckSSIyMpLatWszY8YMQkJCePToEcuWLaNMmTJ8++231KlTh8qVKzNhwgSUSiVJSUm5un+lSpU4cuQItra2tGzZki/XH2XqllCSVRqDgjGk/dtMVmmYuiWUxUE3cjUeQShpivdaZjGUkJDAr7/+ypw5c0hISEjLCq5ox5n7MQb/UNPm1UIVRd3Tp09ZsmQJv/32G0+ePKFLly7Mnz8fb29vvWZ2jx8/ZtCgQRw/fpyFCxfy8ccfZ5y3e/du3n//fcaPH8+UKVNyvIZSqcTLyyvTFh87OzuSkpJISkrKyFT38fGha9eunD17loYNG+bxk+tPqVRiZWVFixYtMl5LSEggOTk50/K0q6srY8aMYcyYMSQlJREcHJyxrerXX3/FysqK9u3bZ5TzzOmZcHZcXV0JDg6m1ejP+eNMODGntpD86Bopj6+jSYrDsctEbOq2y3JezNmdxJ7bjepFOCaWtli96UVpr2HIzSxKbHcyQTCUmCEXkJSUFJYsWUK1atWYNm0aAwcO5NatW8ydO5d5A95GYWCWry66ClUUFZcuXeLdd9+lQoUKzJkzh969e3PlyhV2795Nu3bt9ArGhw8f5u233+bGjRsEBQUxceLEjPNCQkIYMGAA3bp14+eff87xeomJiRw6dCjT7BPSsp6BTNXMOnbsiJubGytWrMjlp84dpVJJmzZtMjXU0FU208LCgo4dO/LLL79w+/ZtLl68yPTp04mMjOS9997Dzc2Nhg0bMnPmTM6cOZOlm1Z2EuVWqOr1QZMQTfSx9aRG3sfUuXKOxz8P8uV54O+YOVXEod1YrGo2J/bsLp5u/S7jmOk7LnFfR5EcQSjpREDOZ2q1mjVr1vDmm2/ywQcf4O3tzdWrV/ntt98yZiYVHKz42sjPeQ0pVFHQJElCqVTSsWNHateuzZ49e5gxYwb3799nyZIlvPHGG3pfZ968ebRt25Y33niDc+fOZZo93rp1i65du1K3bl3WrVunde/rkSNHSExM1Csgm5iYMHr0aNatW0d8fLwBnzz34uLiOHr0aJbxGVLHWiaT4eHhwZQpUzhy5AgRERGsWbOG6tWr89NPP+Hp6Ymbmxs+Pj5s27aNuLjs97indyczsXGk/AR/yo/3xb5N9nW/VXFRxIRsw9qjDWV6f06pt7rg0P497L19SLrzNwk3TqUd9293MkF4nYmAnE8kSWL79u3Ur1+fYcOGUbduXS5cuIC/vz9Vq1bNcvwgT3c+7VAjrzcF4L0mrkVy+S8xMZFly5bh4eFB586defbsGWvWrOHOnTt8/vnnBmUFR0dH069fPyZPnsynn35KYGAgZcuWzXj/6dOndO7cmdKlS7Nz506ddaKVSiVubm4Zz5zTpddbfrUwxujRo4mLi2Pjxo16jzkvgoKCSE1NzVNAfpWjoyNDhgxh/fr1REREcOjQIYYOHcqxY8fo3bs3jo6OdOrUicWLF3P37l3gv+5kao2ETGGKiY32do8pD6+CRo11rZaZXrd+M+338VcOA5m7kwnC60oE5Hxw4MABmjRpQq9evXBxceHkyZNs3bqV2rW1t++b0KY6c/rUyVOhCs2JP9j63TgSExPz8hGM6vHjx3z55ZdUqFCBcePGUbNmTYKDgzlz5gxDhgwxuAZzaGgonp6e7N+/n61btzJnzpxMnaQSEhLo0aMHL168YO/evTg5Oem8plKppFOnTlmWtNNnyK8G5EqVKtG+ffsCW7ZWKpVUrVqVatUyFyExRqcnAFNTU1q1asWPP/7IlStXuHHjBnPnzkWtVvPJJ59QuXJlateuzfiF6zHkn6akTgVApsjct1pmmvb7lPBbGa+ldycThNeVCMhGdOrUKdq1a0e7dmlJLfv372f//v00btxY72sM8nRn/6RWNKvyb8lMHT/90t9vVsWR/Z+0ZtuCKVy8eJGxY8cWeBbwq/755x9GjBhBxYoV+emnnxgyZAg3btxg69attGzZMlfbcPz9/WncuDGWlpacPXuWXr16ZXpfrVYzePBgLly4wO7du7NdjXjVvXv3uHLlSpbZJ/w3Q361IxakJXcdP36cy5cvG/w5DBUQEJDRTOJlkZGRKBQKo29HrFatGh9//DGBgYE8e/aMTZs24enpybVYBYbkHir+rbOe9CDzn1Hy/UsAqOP+q0Cn1kgEXY/I++AFoZgSAdkIQkND6dWrF02aNCE8PJxt27Zx8uRJvL29c3W99EIVgRNbMqxxRSo6WvFq6JIBFR2tGNa4IvsntcR/TGMqOFjx9ttv4+vry5o1a5g3b16eP5uhNBoNO3bsoE2bNrz11lscOnSI77//nvv37/PTTz/pFSCzk5yczPvvv8/w4cMZMGAAJ06cyDJblCSJjz76iJ07d7Jx48aM5gu6BAQEYGJikvFF6mW2trbIZLJsazn36NEDJycnVq5cmavPpK+bN29y69atbL8wREZG4uDgkOc9xtrY2trSt29fflm6HBNbw6psmZethlm5msSc2kzchUBUL56QeOsMkcpfQa5ASk3OdHxYZALxySpjDl8Qig2x7SkPbt26xYwZM1i3bh2VK1dmzZo1DBo0yGiF86u7lGJmDw9m4kF8sgqnym8yecrnDOzfl0qO1jlW4Bo4cCChoaFMmTIFDw8PunTpYpTxaBMXF8fq1atZtGgRN2/epEmTJvz555/06dMn03Jybty7d4/+/ftz/vx5li1bho+PT7YBaO7cufz222/8/vvvdO3aVe/rK5VKmjRpkrE8/TK5XI6trW22M2Rzc3OGDx/OH3/8wezZszNlPxuTUqnE1NQ02w5J+VXHOjv6dCfLTpnen/Ns+1wi9/yU9oJMjm2jXiSFXSQ16mGmYyXgbmQ8HuVEr2Th9SMCci48fPiQb7/9lhUrVlCmTBl+++03Ro8ebZR+tDmxUMhIenyTSqXQ64fVrFmzuHjxIu+88w4nT57kzTffzJdx3b9/n8WLF7Ns2TJiY2Pp27cv/v7+NGnSxCjXVyqVDBkyhFKlSnHs2LEc9/2uXbuWqVOn8uWXXzJ27Fi9r5+amsr+/fv57LPPcjzGzs4ux25HPj4+LFiwgB07dtC/f3+972sIpVJJixYtsm2BWJABWZ/uZNlRlHKi7NC5pEY9RB3/HFN7N0xs7HmweDimDln3QOf2PoJQ3IklawNERkYyefJkqlWrxsaNG5k9ezY3b95k3Lhx+RqMIW0fM6D3feRyOf7+/lSoUIEePXrw/Plzo47n9OnTvPPOO1SuXJnff/8dHx8fbt++zZ9//mmUYKzRaPj666/p0qULjRs35ty5czkG4wMHDjBq1ChGjBjBrFmzDLrPiRMniI2NzXY5OF3p0qVzDMhvvvkmzZs3z7fkruTkZIKCgnIcX0EG5Lx2DTN1cMOiQm1MbOxJeRaGOi4Ki0r1jX4fQSiuxL98PcTGxjJr1iwqV67M0qVL+eyzz7h9+zaTJ0/WuZ3GWNIDsiHLoqVKlWL79u1ERUUxcOBAVKq8PZtTqVRs2rSJ5s2b07hxY06fPs2CBQu4f/8+P/74I+7uxtlqFRkZSdeuXfn666+ZNWsWu3btwsHBIdtjL1y4QJ8+fWjdujXLly83+Fnq3r17KVOmTKbeya8qXbp0tkvW6Xx8fAgMDMzYGmRMR48eJSEhIceAHBUVVWABOb07WV5JkoYXQb7ITM0pVb9zpvdKUncyQTBUsV+yjo98QfjZUFSJSSgsLSjboA7WjqWNcu2kpCSWLFnC7NmziY2NZfz48Xz++eeUKVPGKNc3RHJyWvKLoTPxqlWr8tdff9GhQwcmT57MwoULDb53TEwMK1eu5Oeff+bu3bu0bNmSrVu30r17d6M3mg8JCaFfv37Ex8cTEBBA+/btczz2/v37dOnShSpVqrB58+ZctR5ML1CSXfvGdNqWrAH69+/PRx99xKpVqwyeoeszPldX1xw7WxXkDDm77mQxZ3eiSYpHHZfWnzvx5mlUsWl9k20bdEduYU1U4O9I6lTMnKsgaVTEXw4m5dF1HLtNQmGXuTZ5SehOJgi5VSxnyPcOh3Cq2xAeOrlh6WRP1Y4tqdmrA1U7tsTSyZ6HTm6c6jaEe4dDcnX91NRUli9fTvXq1Zk8eTK9e/fmxo0bLFiwoFCCMeRuhpyubdu2/PTTTyxatIhVq1bpfd6dO3eYNGkS5cuX57PPPqNFixacPXuW4OBgevXqZdRgLEkSS5cupUWLFri6unLu3DmtwfjFixd07twZExMT9uzZQ6lShtfsfvz4Mf/884/W5WrQvmQNYG1tzeDBg1m1ahVqtdrgcWiTvt0pp5l/epZ1QWlT0znTVryYU1uJPrKGuL/3AJBw/TjRR9YQfWQNmqS0Sl9mLlVJfnSN50GreHHYH7mpBS7vfIdN7baZrm0il9GmhvZOXoJQkhWrr6KP/r5M5NBR1Ll8GjeZHIWUNflDDrhFPsJlzwYUu9cRWqsRjmt8KfdWLZ3X12g0bNy4kenTp3Pjxg0GDRrErFmzqF69ej58Gv3FJ6u4/DgGM9cahCcriE9WGTyLGD9+PBcuXMgozNG8efNsj5MkiWPHjrFw4UK2bdtG6dKl+fDDD/nggw8MakJgiISEBMaNG4e/vz8TJkxg/vz5WlcCkpOT6d27Nw8fPuT48eO4urrm6r779u1DJpPRoUMHrcelt03TxsfHh99//52AgACjZbU/fPiQ0NBQvvjii2zfV6vVvHjxosBmyABDGrvjd+Juxu/Lj9f9Bc+mbrtsG068qjh2JxMEYyo2Afn0Fz9Qd+50nNVpz0GzC8YvS3//zStnUDV6i9OfzaLRd9l3+pEkid27d/PFF19w4cIFunXrxl9//UW9evWM+yEMcONJLGtPhRF0LYKwqAQkwHXEAmaeTObrkwG4O1jRpqYzQxq7U91F9+xQJpPxyy+/cOXKFfr06UNISEimZ76pqals2rSJBQsWcObMGWrWrMmvv/7K8OHD8/U5+Y0bN+jbty+3bt1i7dq1DB48WOvxGo2GkSNHcuLECQIDA/OUPa5UKmnQoIHOVQ9dM2SABg0aUK9ePVasWGG0gBwQEIBcLs92fzTA8+fPkSSpQANydZdSeFVz4vjtyNe6O5kg5IdisWR9YswnNJo9FXNVis5A/CqFpMFclUKj2VM5MeaTLO8HBwfTokULunfvjr29PceOHWPnzp2FFozvRyUwbOUp2i86jP+pe9z7Nxi/TALuRSXgf+oe7RcdZtjKU3p1yjEzM2Pz5s1YWlrSq1cvEhISeP78OT/88ANVqlRh8ODBlC5dmt27d3P58mXGjRuXr8F4y5YtNGzYkOTkZE6fPq0zGANMnTqVP//8kzVr1uDl5ZXre6vVavbt26dzuRp0J3VB2hceHx8fdu7cSXh4eK7H9bKAgAA8PT1zDLjGKptpqNm967y23ckEIT8V+YB8+osfaLpqIXHATKAT4EBaNqZfDudogCVAfcAScALaAlarFnL6y7kAnD17lo4dO9K6dWuSk5MJCAggKCiIZs2a5efH0WpDSBjtFgZz/HbaD1pdM5D094/fjqTdwmA2hOiuA1ymTBm2b9/O1atXqVevHm5ubkyfPp0OHTpw4cIFAgMD6dKli9Ykp7xSqVRMnjyZvn370qFDB0JCQrI0dcjOL7/8wo8//siCBQvo169fnsZw5swZoqKi9ArIdnZ2xMTE6Hw+PGTIEBQKBX/88UeexgZpf0aBgYFax1dYAfl1604mCAWlSAfkR39fpu7c6UjAM2AWcAXQNXcdDXwENAB+AaYD7sAToO4PX+HTrS8NGzYkLCyMTZs2ERISQocOHfK1/KAui4NuMHVLKMkqjcFLgWqNRLJKw9QtoSwOupHjcZIkERQUxJdffkliYiI3b96kadOmhIWFsXLlyhwzeY3p8ePHeHt7s2jRIhYuXMjGjRv1qsO8ZcsWPv74Yz755BMmTpyY53EolUrs7Oz0qjOeXsErJiZG63H29vb069ePFStW5LmOeEhICM+fPy+SARmM1J3sX5M71CyS3ckEoaAV6WfIkUNH4axWIQNcgcdAWeAMkFOV4o3AamAL0Dub91VqFcPPheLl58fQoUONvm0nNzaEhDFv3/Usryfdu8CT9dOyPafssHmYu2XtGzxv33XK2Jhn+gGXnJzMhg0bWLhwIefPn6d27dqsXLmSO3fu8O2333Ly5El69uxpvA+Ug8OHDzNw4EBkMhlBQUGZehdrc+zYMYYMGUL//v358ccfjTIWpVJJ+/bt9Srr+XJPZHt77e0GfXx8WLNmDYcPH6ZVq1a5Hl9AQAD29vZa63EXZkCGtO5kTjbmzNhxCZVGMuiLpIlchkIuY1YPDxGMBeFfRTYg3zscQp3LpzN+b05aMNZlAdCItGCsARKBl8sMKCQNLR/foGJVjyIRjO9HJTBjxyWtx5Rq0B0z18yzEYV9zpnF03dcollVJyzU8SxdupTffvuN8PBwunTpwrx58/D29kYmk6HRaLhy5QpDhw7lxIkTObaHjE9WcTcynhSVBjOFXGsd7exIksT8+fOZOnUqXl5erF+/PlPvYm2uXbtGjx49aNSoEatXrzbKUnpkZCSnT5/Gx8dHr+Nz6omcnZYtW1KtWjVWrFiRp4Cc/oVB27/RyMhIbGxs8r1KnDaDPN1pXtWJaVtDOXLzGSZymdbAnP5+syqOzO5dRyxTC8JLimxADp+7KMetTTmJAU4D44FppC1XxwGVgTnAgH+PU8nkhM9ZSMVda4076FyYtjUUlY6ZhXkFD6zf0G82CZCq1tDzuz+58tt4ZDIZw4cPZ+LEibzxRuYZtVwuZ/Xq1TRv3pwePXoQEhKSMdvKLss7nQz0zvKOjo5m9OjRbNmyhSlTpvDtt9/q3WwiPDycTp064eLiwrZt27CwsND7z0Cb/fv3o9Fosm1nmJ2ceiJnJz25a+bMmfz88886Z9TZSf/C8N577+k8rrBmxy9L706W8W/megRhkdn8m3G0ok0NZ4Y2cRfZ1IKQjSIbkMufPGRwRvUt0jKQN5D2weYCdsBPwCDAlrSkMIWkwe1ksFHHmxs3nsRy5OYzvY7VJCcgMzVHJtc9q9dIEGXmzIRp3zJ1/EitP7Stra3Zvn07np6e9O/fnxUbtjJj51Wts52Xs7z9TtzFq5pTtrOd0NBQ+vbty5MnT9i6dWuW3sXaxMXF0bVrV5KTkzl06FCuAltOlEoltWvXpnz58nodr60ncnZGjBjBl19+ybp16/jggw8MHl9gYCCSJOncH11UAnK6V7uT5WVVRRBeR0UyqSvu2XNcIx8Zft6//xsJbAfeBwYDBwBH4NuXji0X+ZD4yBd5G2gerT0VlqnqUU4i9/zE/YUDCPuxN+HrPif5cc6JW+lM5DKs63XS6wd2xYoV2bx5M2dfmNNugXGyvNesWUPjxo2xtLTk7NmzBgXj1NRU+vfvz40bN9izZw8VK1bU+1xdJElCqVTqlV2dzpAla4CyZcvSvXt3li9fnqvkroCAAOrUqYObm5vW4wqyjrWhrM0VeJSz4y13ezzK2YlgLAh6KJIB+cm5i7kamOW//1sZeDl31gboTtpydnp7BTkQvG4T586d4+rVq4SFhfHs2TPi4+PRaAqm/VvQtQjtQc/EFKuazXDwfpcyfb+idMthpD69x5O1U0gJv6X12mqNRND1CL3Hcl5VFvuOE1Ajz1OW96LAq4wfP55hw4YxYMAATpw4QbVq1fS+liRJjBs3jv3797N582bq169v0Fh0uXDhQsZSuL7Mzc2xtLTUe4YMacld58+f5+zZswaNz5AvDEVthiwIQt4Uya+tqsSkXJ2XXtjRJZv3nIFUIJ60ZWyA2V/P4ljk/WyvZWFhgZWVFVZWVlhaWmb8/+x+r88xr/5eMjEjTEcxD4vyb2JR/qVKVNUbY/VGcx6v/JDnwatxGai9kUFYZIJeZTZfzvLWtfUr+vifvDjsj6mTO+V8fsvy/qKDt3hx6i7Lli3Dx8fH4K1ks2bNYtWqVaxevVprLevcUiqVWFlZ6Z3hnU5Xg4lXdezYETc3N1asWJFj28jspH9h0Of5dmRkZL71uRYEoeAVyYCssMxd8k450jKxH2bz3iPAAng5leT7eT9iXbc6CQkJJCQkkJiYmPH/c3ot/fdRUVE8ePAgx2N0MXWuTLnRvxj8GU3ty2FZvTEJ148jadRanylLwN3IeDzK2eV4jD5Z3ulUMc+IPrERmamWvx9JwrnTB3Tq28bgYLxq1SpmzpzJt99+y/Dhww06V19KpZK2bdsa3KRDn/KZLzMxMWH06NEsWrSI+fPnY22tX0vBgIAAvb8wiBmyIJQsRTIgl21QBw25W08fSFoSVyCQPr96Rtoz5bYvXVMDvN29o9FaNb5MkiSSkpK0Bvprz5L5Vfej4GwpbJ1ArUJKTUZmrn3bSIpK+/K7Plne6Z4HrcS8XE0kjQZNYg5FMmQy1MiYtjUU/zG6i26k27t3L2PHjuW9995j2rTs917nVWxsLEePHmXRokUGn6tP+cxXjR49mm+//Za//vqLkSNH6nWOIV8YREAWhJKlSAZka8fSPHQsh9sriV2LgRekzXYBdgIP/v3/H5K2FP05acVB+gKf/PvaUtKWq2e/dK1Hjm6Uz4dgDGnLvpaWllhaWub4A/PSo2h+vXE0V9dXvQhHpjBDZqZ7JcFMkfPXGkOyvJPCLpJw9Riuo34mKnCp1mPVGokjN59xMyJWr+0tZ8+epX///nTu3JnFixfnW8W0AwcOoFKpDHp+nM7QJWuASpUq0a5dO1asWKFXQI6Li+Po0aN69axOSEggKSlJBGRBKEGKZFIXwIMmrVHJMg9vHvAVaXWqIa0a11f//nr+72suwFGgHbAQ+AIoDwTzX8lNlUzOwya5L9pgDJUcrdEVdtQJWWdkKU9uk3DjNBaV3kIm0/7XJ/v3PjnRN8tb0qiJClyKTb0OmDlX0nk8pGV5rzmpu7b2nTt36Nq1Kx4eHmzYsEHvPcq5oVQqqV69OlWrVjX4XEOXrNP5+Phw7Ngxrly5ovPYoKAgUlNT9X5+DIVXpUsQBOMrsgG57GcTs+xDvkvac9HsflV66bgqpAXraCCBtG1PLxcgVEgayk6dlE8j14+1uQJ3HVWKnm77gYi/ZhJ9/E9i/1EStX854WsmIzM1x771SJ33cHe00prQpTPL+19xf+9FFfOU0i2H6Tw2nT5Z3pGRkXTu3BkbGxt27typ93PW3MjNdqeX6dMTOTs9e/bEycmJlStX6jxWqVRStWpVvbLSRUAWhJKnyAbkii09Ca3VKMssOa9UMjmhtRpRsYX+ma/5pU1NZ60zVKsaTVAnxBBzehtR+5aQcPUIVjWa4TpyIaZOFbRe20Quo00N5xzfj0tW6czyBlAnxvDiyFpKNxuIiVXOyWHZSc/yzk5iYiI9evQgMjISpVKJs3POYzWGa9euce/evVwH5NzOkM3NzRk+fDirV68mOTlZ67GGfGEQAVkQSp4i+Qw5neMaX1SN3sJElaJzeVcfEqAyUeC4xtcIV8u7IY3d8TtxN8f3bRv2wLZhj1xdW62RGNok56L99yLjs/RZzs6Lw/7ILW0o1bC7wWPIKctbrVYzZMgQ/v77b4KCggzap5xbSqUSc3PzXNeXzk1SV7oxY8awYMECduzYQf/+/bM95ubNm9y+fVvvcp4iIAtCyVNkZ8gA5d6qxYXPZhklGEPaM9ULU76h3Fu1jHTFvKnuUgqvak56Pcc1hIlchlc1J60JVbqyrwFSox4S908ApRr0QB0bherFE1QvniCpU5E0alQvnqBOjNV6jVfvI0kSkyZNYvv27WzYsEGv9ofGoFQqadmyZa6XxdOTunJTeatWrVo0a9aMFStWaB2fqakpbdq00euakZGRmJiYZFQREwSh+CvSARmg0XdTODE67XlvbjvMpp93cswnNPr2M6OMy1hm966DwsgBWSGXMbu39t7G2rKv06ljI0HS8Hz/7zxcOibjV8qja6iiHvJw6Riij6036D7z58/nl19+4ddff6VHj9zN/g2VmJhIcHBwrperIW2GrFKpSEjQvcyfHR8fHwIDA7l792627yuVSry8vLCxsdHrepGRkTg4OBRqD29BEIyryAdkgKYrF3B62hySFWYGP1NWyeQkK8w4/cUPNFkxP59GmHsVHKz4uoeHUa85q4eHzrZ2+mR5m5apSJk+X2T5ZerkjoltGcr0+QKbujk3QHg1y3vDhg1MnjyZzz//nHHjxhnwifImODiYpKSkPAdk0L/BxKsGDBiAjY0Nvr5ZH5ckJycTFBSk93I1iD3IglASFYuADGkz5ajTf3PlzbRkLF2BOf39K282JOr030VuZvyyQZ7ufNqhhu4D9TC5Q029Gr7rk+VtYmWHVY2mWX7JLW2Rm1liVaOp1m1QL2d5Hzp0iBEjRjBs2DC+++47gz5TXimVSipUqJCnMpOGNph4lbW1NYMHD2bVqlWo1epM7x09epSEhASDvjAU5cYSgiDkTrEJyJD2TLnOpVPcCz7N2S6DeODoxqtPQjXAA0c3znYZxL0jIdS5dKrIPDPWZkKb6szpUwdzhdzgZ8omchnmCjk/9KnDB230T5DSleWdFy9neV+8eJFevXrRsmVLVqxYUeDLrOnZy3m5ryE9kXPi4+PDgwcP2LdvX5bxubq6UqeO9scML0tfshYEoeQo0lnWOanY0pOKLdcCEB/5gvCzoagSk1BYWlC2QR3KO5ZGv063RcsgT3eaV3Vi2tZQrf2I06XXsm5WxTHbfsS66MryzknZIXN0HpOe5f3gwQM6d+6c0eLRzMzM4PvlxZ07d7h27RqzZ8/WfbAWhvZEzk6DBg2oV68ey5cvp3PnzhmvK5VKOnbsaNAXhsjISN54441cj0UQhKKnWM2Qs2PtWJqqHbyo2bM9VTt45Utt6oJUwcEK/zGNCZzYkmGNK1LR0SrLs14ZUM7WlNhzu/nfmwn4j2lscDCG/M/yLmOuoUuXLshkMvbs2YOtra1R76OPgIAATExM8Pb2ztN1jDFDlslk+Pj4sHPnTsLDwwF4+PAhFy9eNPj5tniGLAglT7GcIb8OqruUYmYPD2biQXyyiruR8aSoNJgp5FRytMbaXEGT7dM5sOUJHw7Pfm+rPmb3rkO7hcEG90DWRiGXMbPbG/Tp04f79+9z9OhR3NzcjHZ9QyiVSpo1a5bn7UHW1taYmJjkaYYMMGTIED799FP++OMPPvvsMwICApDL5bRr186g64iALAglT7GfIb8OrM0VeJSz4y13ezzK2WUkSg0ePJg9e/YQFRWV62vnR5b3zO61mPG/Dzh69Cjbtm3Dw8O419dXSkoKBw4cyFN2dTqZTJarBhOvsre3p1+/fqxYsSKjnGejRo0MCq5qtZrnz5+LgCwIJYwIyMXYgAEDUKvVbN68OU/XMXaW94WtS1m7di1//PFHritjGcPx48eJi4szSkCG3JfPfJWPjw83btwgKCiI/fv3G7TdCcgoUCICsiCULCIgF2Nly5bF29ubdevW5flaxsryll3Zx5w5c5g3bx4DBw7M87jyIr1Gdv369Y1yvbyUz3xZq1atqFatGj/++CPPnz/P1fNjEGUzBaGkEQG5mBsyZAjBwcE8ePBA98E6DPJ0Z/+kVjSt8u92Gkl7ec30wN2siiP7J7XC4tHffPjhh3z88cd88skneR5PXu3du5eOHTsilxvnn7kxlqzhv+SuwMBASpcujaenp+6TXiICsiCUTCIgF3O9e/fGzMyMDRs2GOV6FRysGOEey6Pl79OhskWOWd4VHa0Y1rgi+ye1xH9MYx5cO8+gQYPo3bs38+fPL/SSjo8ePeLChQtGW64G4y1ZA4wYMQK1Wk2VKlUwMTEx6FwRkAWhZBJZ1sWcra0t3bt3Z926dXz66adGuebvv/9OjbK2/D62HTKZLMcs73TXr1+ne/fuNGjQAH9/f4MDTH4ICAhAJpPRoUPOpT0NZWdnl7FdKa9MTU0BePr0KZIkGbwHGURAFoSSRsyQS4DBgwfz999/c+XKlTxfKzw8nO3bt/Pee+9lBImcsrwBnjx5QufOnSlTpgw7duzA0tIyz2MwBqVSiaenJ05OTka7pjFnyIGBgQDcv3+fc+fOGXRuZGQk1tbWmJubG2UsgiAUDSIglwBdunTBzs6O9eu1d17Sx6pVqzA1NWXYsGE6j42Pj6dbt24kJCSwd+/eIlPKUaVSERgYaNTlajBeUhekfWGoXbs2bm5uWtsyZkfUsRaEkkkE5BLA3Nycfv36sXbt2lz1602n0WhYvnw5AwcOzKhMlROVSsXAgQO5evUqu3fvplKlSrm+r7GFhITkKntZF2MldUmSREBAAJ07d2b06NGsW7eO+Ph4vc8XRUEEoWQSAbmEGDx4MLdv3+b06dO5vsa+ffu4e/cu7733ntbjJEli/PjxKJVKNm3axNtvv53re+YHpVKJvb29wdnLupQuXZqEhARSU1PzdJ0LFy4QHh5Op06dGD16NLGxsWzatEnv80VjCUEomURALiFatWqFq6trnvYk//7779StW5fGjRtrPe67775j+fLlLF++3OCiFgVBqVTSvn17FArj5izmtSdyOqVSiZWVFc2bN6dSpUq0a9eO5cuX632+mCELQskkAnIJYWJiwjvvvMOGDRtQqVQGn//o0SN27tyZKZkrO35+fnz11Vd8/fXXjBo1Ki9DzhfPnj0jJCTE6MvVkPeeyOkCAgJo27ZtRlKWj48Px44d0zspTwRkQSiZREAuQQYPHkxERAQHDx40+NyVK1dibm7OkCFDcjxm3759vPvuu/j4+PDVV1/lZaj5JjAwEEmS8mXmboyOT7GxsRw9ejTTF4aePXvi6OjIypUr9bqGCMiCUDKJgFyCvP3229SoUcPgZWu1Ws3y5csZNGhQjl2R/v77b/r27UuHDh1YsmRJoRf+yIlSqaRu3bqUK1fO6Nc2xpJ1UFAQqampmQKyubk5w4cPZ/Xq1aSkpOi8hgjIglAyiYBcgshkMgYPHsyWLVtITEzU+zylUsn9+/dzTOa6d+8eXbp0oWbNmvz5559GfzZrLBqNhoCAgHxZrgbjLFkHBARQtWpVqlatmul1Hx8fnj17xo4dO7Sen5iYSGJiogjIglACiYBcwgwePJjY2Fh27dql9znLli2jfv362WYlR0VF0alTJywtLdm9ezc2NjbGHK5RnT9/nidPnuRbQLa1tQVyP0OWJIm9e/dmO75atWrRrFkznXuSRZUuQSi5REAuYapXr46np6fey9YPHjxg165d2SZzJSUl0bNnT54+fYpSqcTFxSU/hmw0SqUSa2trmjdvni/XVygU2NjY5HqGfPPmTe7cuZPjFwYfHx/27dvHvXv3cryGCMiCUHKJgFwCDR48mD179vD8+XOdx65cuRJLS0sGDx6c6XWNRsOwYcM4c+YMO3fupEYN4/RLzk9KpRJvb2/MzMzy7R55KZ+pVCoxNTWldevW2b7fv39/bGxsWLVqVY7XEAFZEEouEZBLoIEDB6JSqdiyZYvW41QqFStWrGDw4MEZy7Hp/ve//7F582bWr19P06ZN83O4RhEdHc3x48fzbbk6XV7KZwYEBODl5ZXjsr+NjQ3vvPMOq1atQq1WZ3uMCMiCUHKJgFwCubq60rZtW9auXQtAfLKKS4+i+TvsOZceRROfnLZPee/evTx48CBLMtfChQtZtGgRv/zyC7169Sro4efKwYMHUalU+V6oJLflM5OSkggKCtL5hcHHx4cHDx6wb9++bN+PiopCLpfnmA0vCELxVTTTZYU8a993GD9sPk7zOYE8ik7h5QrXMsDdwYrY6xep17ITDRo0yHhv48aNfPLJJ0yZMoUPPvigwMedW3v37qVGjRpUqVIlX++T2yXro0ePkpCQoPMLQ8OGDalbty4rVqygc+fOWd5PL5spl4vv0oJQ0oj/qkuY+1EJDFt5it/uOWLzdhcevhKMASTgXlQCkQ4evGg2gWErT3E/KoHDhw8zbNgwBg8ezOzZswtj+LkiSRJKpTLfl6sh90vWAQEBuLq6UqdOHa3HyWQy3n33XXbs2MGTJ0+yvC/qWAtCySUCcgmyISSMdguDOX477TmjTG6i9fj094/fjsR7wSH6TVlI8+bNWbVqVbGagV25coX79+9nO6M0ttwuWad/YdCnoMqQIUMwMTHhjz/+yPKeKAoiCCVX8fmpK2i1OOgGU7eEkqzSoNYY1oJRrZFIVmmwau1Dl8k/F7vG90qlEgsLC1q1apXv98rNDPnBgwdcvHhR7+fb9vb29OvXjxUrVmS000zPA7ifYIKVW42MPABBEEoO8Qy5BNgQEsa8fdfRpCQSc2oLyY+ukfL4OpqkOBy7TMSmbrss56Q+u0/UgeUkP7iMzESBZVVP7L19WHz4HhWcbBno6V4InyR3lEolrVq1wtLSMt/vlZsZ8r59+5DL5bRrl/XvISc+Pj5sVB5m7O+BXI81JSwqIe3RQ9U+ANSeGYC7gxVtajozpLE71V1KGTQmQRCKHjFDLubuRyUwY8clADQJMUQfW09q5H1MnSvneI4q5hnha6egev6Y0q2GY9uoD4m3Qniy4UskdSrTd1ziflRCQX2EPImPjyc4OLhAnh/DfzNkjUaj9zlKpZJGjRrpvdR8PyqBFbcsKffuEgLvJnMvPRi/JD0PwP/UPdovOpyRByAIQvElAnIxN21rKKp/l6hNbBwoP8Gf8uN9sW8zOsdzok9sREpNxuWd77Bt2AO7ZgNw6jWV1Ig7xIUeQKWRmLY1tKA+Qp4EBweTkpJSoAFZkiTi4uL0Ol6lUhEYGKj3+NLzAE78mweATPt/oumPJ47fjqTdwmA2hITpdR9BEIoeEZCLsRtPYjly81nGD2WZwhQTG3ud5yVcO45lNU8Uds4Zr1lWqo/CwY2EK0dQaySO3HzGzYjYfBu7sSiVSipWrEjNmjUL5H6GNpgICQnhxYsXej0/NkYewNQtoSwOumHQuYIgFA3iGXIxtvZUGCZymUE/vFWxz9AkvMCsbLUs75m71iDx1hkATOQy1pwMY2YPD6ONNz8Ykr1sDC/3RHZ31/2cXalUYm9vn23jjpdtCAnju9W7iA89QFJYKKroJ8gtbTEvV5PSLYdh6uCWcWzyo2vEhR4g5dE1Up7eBY2ailP/ayYyb991ytiYF6s8AEEQxAy5WAu6FmH4TCourb61iU3WvawmNvZokmKRVKmoNRJB1yOMMs78cuvWLW7cuFFgy9VgeE9kpVJJhw4dMDHJeQtaeh5AzMlNJFw7jkXFeti3G4tNvY4k3b/IY9+P0wLvvxJvnSHu/D6QyVCULpvtNYtTHoAgCGlEQC6m4pJVhOXiB66kSgZAZmKa5T2ZiVmmY8IiE4r09pqAgAAUCgVt27YtsHsasmT97NkzQkJCdC5Xp+cBlPLsjdv4VTi0f49S9TpSuvkgyg75AUmjJubkpozjS73dhQqT/sR15CIsK9XP9prFKQ9AEIQ0IiAXU/ci47Nk3upDpkjbYyypU7O8J6lTMh8D3I2Mz+0Q851SqaR58+ZZGmPkp5eXrHXZv38/kiRpDcgv5wFYlH8zyxclUwc3zJzcSX12P+M1E2t75Kba94oXpzwAQRDSiIBcTKWo9N9287L0pC91XFSW99Rxz5FblEKm+C8o5PY++S05OZmDBw8W6HI1gIWFBWZmZnotWSuVSurWrUu5cuVyPCY9DyAnkiShTniB3MrwLx3peQCCIBQPIiAXU2aK3P3VKUo5IbeyIyX8Zpb3kh9fx8wl8/7l3N4nvx07doz4+PgCD8igX4MJSZIICAjQuVytKw8g/tIh1LGRWL/hZfA4i0MegCAI/ymaP20FnSo5WpPbvGKrms1IvBmCKuZpxmuJd/9BFfUQqzdaZLwm+/c+RZFSqaRs2bLUq1evwO+tT/nMCxcuEB4ervULg648gNTI+0QFLsHc7Q2s63jnaqxFPQ9AEIT/iG1PxZS1uQJ3ByvuvfIDPebsTjRJ8RlL0ok3T6OKfQaAbYPuyC2ssWs6gISrx3iybhqlGvZASk0ruWlaphI2ddpnXMvd0Qpr86L5T0SpVNKxY8cC2+70Mn3KZyqVSqytrWnevHmOx2jLA1DHPSfir6+Rm1vj1OtznY1CcpKeB+BRTvRPFoSirmj+tBX00qamM/6n7mVa8ow5tRV1zH/LlAnXj8P14wDYeLRBbmGNwrYMLoO/5/nBFbwI9kMmV2BZzRP7tmMynh+byGW0qeFMUfTw4UNCQ0OZNm1aodxfnyVrpVJJmzZttDbqyOn5vCYpnicbZ6BJisdl6A8oSuWtu1NRzQMQBCEzEZCLsSGN3fE7cTfTa+XHr9LrXLMyFXEZ+E2O76s1EkObFM3CEkqlErlcTvv27XUfnA90BeTY2FiOHTvGwoULtV4nu+fzkiqFiE2zUD1/iMugbzFzyvvfQVHNAxAEITPxX2oxVt2lFF7VnLRm6eaGiVyGVzUnqjkXzQ5ChjZrMDZdS9ZBQUGkpqbqTDh7NQ9A0qh5uu0Hkh9dpUyvqZi7vZnnsRblPABBEDITM+RibnbvOrRbGGxwxS5tFHIZs3vXMdr1jCm9WcOkSZMKbQy6ZshKpZJq1apRtWpVrdd5NQ/g+cGVJN48hWW1RqgT44i7GJTpeJvabQBQRUcQd/EgAMn/Zsu/OLYBAIWdMza1/yuUUpTzAARByEz8l1rMVXCw4useHkzdYryqTLN6eFDBwcpo1zOmU6dOER0dXSjbndLZ2dnlmGUtSRJKpZIuXbroda2X8wBSntwG0hLxEm+eznJsRkB+EU70kTWZ3kv/vXmF2hkBuSjnAQiCkJUIyCXAIE93nsUlM2/f9Txfa3KHmkW6KYFSqcTBwYGGDRsW2hi0zZBv3rzJnTt39P7C8HIeQNkhc/Q6x6Ji3UzNJHJSlPMABEHISjxDLiEmtKnOnD51MFfIDX6mbCKXYa6Q80OfOnzQJmsXqKJEn2YN+a106dKkpKSQlJSU5T2lUomZmRmtW7fW61qvax6AIAhZiYBcggzydGf/pFY0q5KW7KTrh3z6+82qOLJ/UqsiPTMGiIiI4MyZM4W6XA3aG0wolUpatGiBjY2N3teb3bsOCiMH5KKcByAIQvZEQC5hKjhY4T+mMYETWzKscUUqOlplqeglAyo6WjGscUX2T2qJ/5jGRfaZ8csCAwMB6NChQ6GOI6cGE0lJSRw6dMjgLwzpeQDGVJTzAARByJ54hlxCVXcpxcweHszEg/hkFXcj40lRaTBTyKnkaF0sMm9fHffugP3Ur18fV1fXQh1XTj2Rjx49SkJCQq5m8K9THoAgCNkr+j+VhTyzNlcUm9KJN57EsvZUGEHXIgiLSshUWlIq15dSbl2ZueMSQxq7U92lcJ6P5rRkrVQqKVeuHLVr187VdSe0qY6TjTkzdlxCpZEM2spmIpehkMuY1cNDBGNBKKZEQBaKhPtRCUzbGsqRm88wkcuyDUYymYw4LPE/dQ+/E3fxqubE7N51CnxpNqcl6/TuTnmprz3I053mVZ10/lmkS3+/WRXHQvmzEATBeERAFgrdhpCwjFkhoHNmmP7+8duRtFsYzNc9PBhUgLNCGxsbZDJZpiXrBw8ecPHiRb766qs8Xz89DyBjteB6BGGRmVcLZKQV/WhTw5mhTdxFNrUglAAiIAuFanHQjVw/N1X/u6w7dUsoz+KSmdCmupFHlz25XJ6lfGZAQAByuZx27doZ7T4lIQ9AEAT9if+ihUKzISSMubvOE3NqC8mPrpHy+DqapDgcu0zEpm7mwJb86BpxoQdIeXSNlKd3QaPOVBxj3r7rlLExL7Dnp3ZOztx5kcrfYc8xU8jZs+8AjRo1wsHBIV/uV5zyAARByB0RkIVCcT8qgRk7LqFJiCH62HpMbMtg6lyZ5LDsS4Am3jpD3Pl9mDlXQlG6LKqoh1mOmb7jEs2qOuXbc9SXE87oO5+9koy9S9JaW0qVB2NbJbnQE84EQSi+REAWCsW0raGoNBImNg6Un+CPiY09yY9vEL46+6YRpd7ugm2TfshNzYnat4TYbAKySiMxbWso/mMaG3Ws2SacvZK4JZPJiMWi0BPOBEEovkRhEKHA3XgSy5Gbz1BrJGQKU0xs7HWeY2Jtj9zUXOsxao3EkZvPuBkRa6yhsiEkjHYLgzl+OzLjHrrGAP8lnG0ICTPaWARBKNlEQBYK3NpTYUav3ZzORC5jzUnjBMHFQTeYuiWUZJXG4PaWao1EskrD1C2hLA66YZTxCIJQsokla6HABV2LMGr/5pepNRJB1yOYSd5KURqScHZvTrccr2NRqT7z+LZAE84EQSieREAWClRcsoqwqIR8vUdYZALxyapcbwsyNOHMsdv/sryWEn6D2DM7sKj8FpD/CWeCIBR/IiALBepeZDz5Mzf+jwTcjYzP9TYhQxPObGq3yfJaZFgoIMP6zVZA/iWcCYJQcohnyEKBSlFpivR9cpNw9ipJlUrCtWOYu9dGYesE5E/CmSAIJYsIyEKBMlMUzD+53N7HGAlnibdC0CTHY+3ROtPrxkw4EwSh5BEBWShQlRyts/RnNjbZv/fJDWMknMVfPgQmpljXbJ7p9fSEM0EQhOyIZ8hCgbI2V+DuYMW9lxK7Ys7uRJMUjzouCoDEm6dRxT4DwLZBd+QW1qiiI4i7eBCA5PCbALw4tgEAhZ0zNrXbZlzP3dEqVwldxkg40yQnkHjrDJZVGyK3sMnyfl4TzgRBKLnETwWhwLWp6Yz/qXsZM9GYU1tRx/w3c0y4fhyup5WktPFokxaQX4QTfWRNpuuk/968Qu2MgGwil9GmhnOuxmWMhLOEa8eQVClY12qd7ft5TTgTBKHkEgFZKHBDGrvjd+Juxu/Lj1+l8xyLinUzNZPIiVojMbRJ7vb7GiPhLP7SIWTm1lhVa5Sv9xEEoeQRz5CFAlfdpRRe1ZyMXq3LRC7Dq5pTrnsD5zXhTBUXRVJYKFY1myFTmObbfQRBKJnETwahUMzuXQeFkQOyQi5jdu86uT4/rwlnCZcPg6TJcbka8pZwJghCySaWrIVCUcHBiq97eDB1S/bVr3JjVg+PPFXCym3CWbr4y4cwsXHAomLOXwpym3AmCELJJ34yCIVmkKc7z+KSmbfvep6vNblDTaPUis5NwhlAauQDUsJvUsqzFzJZ9gtPeUk4EwSh5JNJkqQzsTQmJgY7Ozuio6OxtbUtiHEJr5ENIWHM2HEJlUYyaA+wiVyGQi5jVg8PozVuuPEklvaLDhvlWtnZP6llrp9xC4JQPOkbQ8UzZKHQDfJ0Z/+kVjSr4gigM9kr/f1mVRzZP6mVUbsoFdWEM0EQSj4xQxaKlBtPYll7Koyg6xGERSZk2hcsI+0ZbJsazgxt4p5vwe1+VALtFgaTbMTtSeYKOfsntRLdngThNaRvDBUBWSiy4pNV3I2MJ0WlwUwhp5KjdYElRG0ICTNqwtkPfeqIfsiC8JrSN4aKpC6hyLI2VxRaRauimHAmCELJJgKyIORgQpvqONmYF5mEM0EQSjaR1CUIWhSlhDNBEEo2MUMWBB0qOFjhP6ZxkUg4EwSh5BJJXYKQC4WZcCYIQvEikroEIR8VZsKZIAglk3iGLAiCIAhFgAjIgiAIglAEiIAsCIIgCEWACMiCIAiCUASIgCwIgiAIRYAIyIIgCIJQBIiALAiCIAhFgAjIgiAIglAEiIAsCIIgCEWACMiCIAiCUASIgCwIgiAIRYAIyIIgCIJQBIiALAiCIAhFgAjIgiAIglAEiIAsCIIgCEWACMiCIAiCUASIgCwIgiAIRYAIyIIgCIJQBIiALAiCIAhFgAjIgiAIglAEiIAsCIIgCEWACMiCIAiCUASIgCwIgiAIRYAIyIIgCIJQBCj0OUiSJABiYmLydTCCIAiCUNKkx870WJoTvQJybGwsABUqVMjjsARBEATh9RQbG4udnV2O78skXSEb0Gg0PHr0iFKlSiGTyYw6QEEQBEEoySRJIjY2lnLlyiGX5/ykWK+ALAiCIAhC/hJJXYIgCIJQBIiALAiCIAhFgAjIgiAIglAEiIAsCIIgCEWACMiCIAiCUASIgCwIgiAIRYAIyIIgCIJQBPwf92ORFXYwkV4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (6,6))\n",
    "\n",
    "nx.draw_networkx(G, pos)\n",
    "nx.draw_networkx_nodes(G,pos,\n",
    "                       nodelist = list_periphery,\n",
    "                       node_color = 'r')\n",
    "plt.savefig('空手道俱乐部图，边缘点.svg')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
